PUBLICATIONS



 



Raymond MORTINI



updated: 20.07.2018









141



140
One-component inner functions II Cima, Mortini to appear in: Advancements in Complex Analysis - from Theory to Praxis,
 Ed.: Michail Rassias,
Springer-Verlag 2019.
139
Logarithms and exponentials in the matrix algebra M2(A) Mortini, Rupp Computational Meth. Funct. Theory 18 (2018), 53-87.
138
The Riemann-Cantor uniqueness theorem for unilateral trigonometric series via a special version of the Lusin-Privalov theorem Mortini
Ann. Univ. Mariae Curie-Sklodowska 71 (2017), 73-76.
137
The Riemann-Carathéodory result implies Borsuk's retract theorem Mortini, Rupp Topology and its Applications 232  (2017), 29-33.
136
One-component inner functions Cima, Mortini
Compl. Analysis Synerg. 3 (2) (2017), 1-15.
135
On the Krull Intersection Theorem in Function Algebras Mortini, Rupp, Sasane Quaestiones Mathematicae 40 (2017), 363-380.
134
A revisit of the Arens-Royden and Shilov idempotent theorems for real Banach algebras Mortini, Rupp submitted
133
Unitary stable ranks and norm-one ranks Mortini Comm. Algebra  45 (2017), 1260-1269.
132
The algebras  of bounded and essentially bounded Lebesgue measurable functions Mortini, Rupp Demonstratio Math. 50 (2017), 94-99.
131
Holomorphic injective extensions of functions in P(K) and algebra generators Mortini
J. d'Analyse Math. 133 (2017), 51-69.
130
Noncoherent uniform algebras in Cn Mortini Studia Math. 234 (2016),  83-95.
129
Reducibility of invertible tuples to the principal component in commutative Banach algebras
Mortini, Rupp Arkiv för Matematik 54 (2016), 499-524.
128
The Bass and topological stable ranks of the Bohl algebra are infinite Mortini, Rupp, Sasane
Acta Applicandae Mathematicae 142 (2016), 81-90.
127
Some curiosities of the algebra of bounded Dirichlet series Mortini, Sasane Bull. Korean Math. Soc. 53 (2016), 153-161.
126
The Bass and topological stable ranks for algebras  of almost periodic functions  on the real line
Mortini, Rupp
Trans. Amer. Math. Soc. 368 (2016), 3059-3073.
125
The cone and cylinder algebra Mortini, Rupp Annals Funct. Analysis 7 (2016), 42-60.
124
On a family of pseudohyperbolic disks Mortini, Rupp Elem. Math. 70 (2015), 153-160.
123
A short proof of Cartan's Nullstellen-
satz for entire functions in Cn
Mortini Archiv Math. 105 (2015), 149-152.
122
Logarithms and exponentials in Banach algebras Mortini, Rupp Banach J. Math. Analysis 9 (2015), 164-172
121
Embedding polydisk algebras into the disk algebra and an application to stable ranks Mortini Annales Polonici Mathematici 112 (2014), 217-221.
120
The ring of real-valued multivariate polynomials: an analyst's perspective
Mortini, Rupp
Fields Institute Communications 72 (2014),  153--176.
The Corona Problem, connections between operator theory, function theory and geometry, ed.: Douglas, Krantz, Sawyer, Treil, Wick.
Springer (New York)
119
Corona-type theorems and division in some function algebras on planar domains Mortini, Rupp Fields Institute Communications 72 (2014),  127-151.
The Corona Problem, connections between operator theory, function theory and geometry, ed.: Douglas, Krantz, Sawyer, Treil, Wick.
Springer (New York)
118
The mapping properties of some non-holomorphic  functions on the unit disk
Mortini
Bull. Belgian Math. Soc., Simon Stevin 21 (2014), 117-125.
117
The symmetric versions of Rouché's
theorem via  ∂-bar calculus
Mortini, Rupp
J. Complex Analysis 2014  Article ID 260953 (2014), 1-9.  (doppelspaltig)
116
Noncoherence of some rings of holomorphic functions in several variables as an easy consequence of the one-variable case Mortini, Sasane Archiv Math. 101 (2013), 525-529.
115
The Bézout properties for some classical function algebras
Mortini, Rupp
Indag. Math. 24 (2013), 229-253.
114
Superposition operators,  B-universal functions,  and   the  hyperbolic
composition operator
Mortini
Acta Math. Hungarica 138 (2013), 267-280.
113
Real symmetric extensions of invertible tuples of multivariable continuous functions Mortini, Rupp Complex Anal. Oper. Theory 7 (2013),135-162.
112
The Faà di Bruno formula revisited Mortini Elem. Math. 68 (2013), 33-38.
111
A solution to the Bézout equation in A(K) without Gelfand theory Mortini, Rupp Archiv Math. 99 (2012), 49-59.
110
Finitely generated radical ideals in the Sarason algebra
Mortini-Noël J. Funct. Analysis 262 (2012), 5098-5109.
109
Mappings into the Euclidean sphere

Mortini, Rupp
Amer. Math. Monthly 119 (2012), 485-494.
108
Strong uniqueness sets and t-analytic sets for H and H+C
Mortini
J. Math. Analysis and  Appl. 385 (2012), 439-446.

107
Partial regularity and t-analytic sets for Banach function algebras Feinstein, Mortini Math. Zeitschrift 271 (2012), 139-155.
106
Generating sets for ideals of finite type in H. Mortini Bull. Sci. Math. 136 (2012), 687-708.
105
The covering dimension  of a distinguished subset of the spectrum M(H) of H  and the algebra of real- symmetric and continuous  functions on  M(H) Mortini Topology and its Applications 159 (2012),  900-910.
104
A short proof of the chain rule for differentiable mappings in Rn
Mortini
Math. Magazine 85 (2012), 136-141.
103
A note on some uniform algebra generated by smooth functions in the plane
Mortini, Rupp J. Function Spaces Appl.  2012  Article ID 905650 (2012), 1-15.

102 The absolute stable rank of C(X,τ) Mortini, Noël C. R. Math. Acad. Sci. Paris 349 (2011), 391-394.
101 Stable ranks for the real function algebra C(X,τ) Mortini, Rupp Indiana Univ. Math. J. 60 (2011), 269-284.
100 The Bass stable rank for the real Banach algebra A(K)sym Mortini, Rupp J. Funct. Analysis 261  (2011), 2214-2237.
99
Reducibility of function pairs in HR Mortini Algebra i Analyz 23 (2011), 131-143.
St. Petersburg Math. J.  23 (2012), 1013-1022.
98
Quasi-universal  functions for sequences of composition operators on Hvia Hoffman's theory Mortini Integral Equations Operator Theory 71 (2011), 181-197.
97 Sums of holomorphic selfmaps of the unit disk II Mortini, Rhin Computational Methods and Function Theory 11 (2011), 135-142.
96
Approximation by invertible elements
and the generalized E-stable rank for A(D)R and C(D)sym
Mortini, Rupp
Math. Scand.  109 (2011), 114-132.
95
Generalized stable ranks for commutative Banach algebras
Mortini
Monatshefte Math. 164 (2011), 299-311.
94
A new class of inner functions uniformly approximable by interpolating Blaschke products Mortini Complex Anal.  Oper. Theory 5 (2011), 219-235.

Edited abstracts from the workshop "Operator Theory and Harmonic Analysis"
held on October 31-November 6, 2010
Borichev, Mortini, Nikolski, Seip
Oberwolfach Rep. 7 (2010), no. 4, 2813-2875.
93
Topological stable rank of H(Ω) for circular domains Ω Mortini, Rupp, Sasane, Wick Analysis Mathematica 36 (2010), 287-297.
92
Matricial topological ranks for two algebras of bounded holomorphic functions
Mortini,Rupp,Sasane
Linear and Multilinear Algebra 58 (2010), 741-752.
91
Some algebraic properties of the Wiener-Laplace algebra
Mortini, Sasane
J. Applied Analysis 16 (2010), 79-94.
90
Spectral characteristics and stable ranks for the Sarason algebra  H +C Mortini, Wick Michigan Math. J. 59 (2010), 395-409.
89 The Corona theorem and stable rank for the algebra C+BH Mortini, Sasane, Wick Houston J. Math. 36 (2010), 289-302.
88
Two new characterizations of Carleson-Newman Blaschke products Gorkin, Mortini Israel J. Math. 117 (2010), 267-284.
87
A distinguished  real Banach algebra
Mortini
Proc.  Indian Acad. Sci.
(Math. Sciences)  119 (2009), 629-634.

86
Ideals of denominators in the disk-algebra
Mortini, Sasane Bull. London Math. Soc. 41 (2009), 669-675.
85
The Bass and topological stable ranks of  H(D)R and A(D)R Mortini, Wick
Crelle Journal, Journal für Reine und Angewandte Mathematik  636 (2009), 175-191.

Abel-Preis an Mathematiker Misha Gromov Mortini, Schlichenmaier In: Luxemburger Wort, Juni 19,  2009, S. 16
Rubrik: Analyse und Meinung
84
Interpolation problems on the spectrum of H. Mortini
Monatshefte Math. 158 (2009), 81-95.
83
Universal functions for composition operators with nonautomorphic symbol
Grosse-Erdmann, Mortini J. d'Analyse Math. 107 (2009), 355-376.
82
Bounded universal functions for sequences of holomorphic self-maps of the disk
Bayart, Gorkin, Grivaux, Mortini
Arkiv för Matematik  47 (2009), 205-229.
81 Thin interpolating sequences in the disk Mortini Archiv  Math. 92 (2009), 504-518.
80
Simultaneous stabilization in A(D)R Mortini, Wick Studia Math. 191 (2009), 223-235.
79
Common bounded universal functions for composition operators Bayart, Grivaux, Mortini Illinois J. Math. 52 (2008), 995-1006.

Abel-Preis an Mathematiker
John Thompson und Jacques Tits
Mortini, Schlichenmaier In: Luxemburger Wort, August 26,  2008, S. 24
Rubrik: Wissenschaft und Technik
78 On the pre-Bézout property of Wiener algebras on the disc and the half-plane Mortini, Sasane New Zealand Journal of Mathematics 38 (2008), 45-55.
77 Norm controlled inversions and a Corona Theorem for H-quotient
algebras 
Gorkin,  Mortini,
Nikolski,
J. Funct. Analysis 255 (2008), 854-876.

Edited abstracts from the mini-workshop "Complex Approximation and Universality"
held on February 10-16, 2008
Mortini, Gauthier, Grosse-Erdmann Oberwolfach Rep. 5 (2008), no. 1, 297-346

Abstracts to " Universal functions for
composition operators" and " Uniform approximation by interpolating  Blaschke products" and Problem-section:
"The image of disk-algebra functions"
Mortini Oberwolfach Rep. 5 (2008), no. 1, 332, 339-340, 344
Mini-workshop: Complex Approximation and Universality
76 Bounded universal functions in one and several complex variables Gorkin, Leon-Saavedra, Mortini Math. Z. 258 (2008), 745-762.

Springer

Abel-Preis an Mathematiker
Srinivasa Varadhan
Mortini, Thalmaier In: Luxemburger Wort, Dezember 4, 2007, S. 16
Rubrik: Wissenschaft und Technik
75
Sums of holomorphic selfmaps of the unit disk Mortini, Rupp Ann. Univ. Mariae Curie-Sklodowska 61 (2007), 107-115.

Annales   UMCS, Lublin / Poland
74
On some representation formulas involving moduli of Blaschke products
Gluchoff, Gorkin, Mortini
Analysis 27 (2007), 261-272.


Problems concerning "X-universal functions"
Mortini
Oberwolfach Rep.  4  (2007),  no. 1,  515-516
Workshop: Normal families and complex dynamics
73 Infinite dimensional universal subspaces generated by Blaschke products Mortini Proc. Amer. Math. Soc. 135 (2007), 1795-1801.

American Mathematical Society

Abstract to "Bounded universal functions in one and several complex variables"
Mortini
Oberwolfach Rep. 3 (2006), no. 3, 2262-2264.
Mini-workshop: Hypercyclicity and linear chaos.
72 Harmonic conjugates in arbitrary planar domains Mortini Matematicki Bilten 30 (LVI) (2006), 37-42.
( former title: Bulletin de la Société des Math
ématiciens et de Physiciens de la République Socialiste de Macédonie)
71
Factorization for bounded analytic functions in the unit disk and an application to prime ideals
Mortini
Math. Scand. 99 (2006), 168-174.

Abel-Preis an Mathematiker Lennart Carleson Molitor-Braun, Mortini In: Luxemburger Wort, Mai 29, 2006, S. 12
Rubrik: Analyse und Meinung
70
Norms and essential norms of linear combinations of endomorphisms Gorkin, Mortini Trans. Amer. Math. Soc. 358 (2006), 553-571.

American Mathematical Society

Edited abstracts from the mini-workshop
"Operators on Spaces of Analytic Functions"
 held August 14-20, 2005.
Albrecht, Mortini, Richter
Oberwolfach Reports  2 (2005),  no. 3.   2043-2089

Individual abstract to "Countably generated prime ideals in  H∞ "and "Problems concerning the Corona property and interpolating Blaschke products"
Mortini
Oberwolfach Reports  2  (2005),  no. 3, 2081-2082 and  2084-2085.
Mini-workshop: Operators on Spaces of Analytic Functions.
69
Countably generated prime ideals in  H Gorkin, Mortini                    Math. Z. 251 (2005), 523-533.                                                                                                             
68
Maximality properties of isometric interpolating sequences and sequences of trivial points in the spectrum of H Mortini
Math. Nachrichten 278 (2005), 575-588.
67
A new class of Gleason parts homeomorphic to the unit disk Mortini Note di Matematica 25 (2005/2006), 105-112.
66
Einige Anmerkungen zum Fortsetzungssatz von Tietze Mortini
Elem. Math. 60 (2005), 150-153.
65
Cluster sets of interpolating Blaschke products Gorkin, Mortini             J. d'Analyse Math. 96 (2005), 369-395.
64
Value distribution of interpolating Blaschke products Gorkin, Mortini J. London Math. Soc. 72 (2005), 151-168.
63
Radial limits of interpolating Blaschke products Gorkin, Mortini Math. Annalen 331 (2005), 417-444.
62
Frostman shifts of inner functions Mortini, Nicolau                      
J. d'Analyse Math. 92 (2004), 285-326.
61
Universal singular inner functions Gorkin, Mortini Canadian Math. Bull. 47 (2004), 17-21.
60
Universal Blaschke products Gorkin, Mortini Math. Proc.  Cambridge Phil. Soc. 136 (2004), 175-184.
59
Maximal Gleason parts and support sets for trivial points Mortini
Houston J. Math. 30 (2004), 209-218.
58
Asymptotic interpolating sequences in uniform algebras Gorkin, Mortini J. London Math. Soc. 67 (2003), 481-498.
57
Sequences separating fibers in the spectrum of H Gorkin, Izuchi, Mortini
Topology and its Applications 129 (2003), 221-238.
56
Homotopic composition operators on H(Bn) Gorkin, Mortini, Suarez
Contemp Math. AMS,  328 (2003), 177-188, Function Spaces, Proc. of the fourth conference on Function Spaces, Edwardsville, 2002, Ed.: K. Jarosz.
55
When is the product of two harmonic mappings harmonic? Mortini
Lecturas Matematicas 23 (2002), 5-10.

Sociedad Colombiana de Matematicas
54
Hulls of closed prime ideals in H Gorkin, Mortini Illinois J. Math. 46 (2002), 519-532.
53
Ellipses and finite Blaschke products Daepp, Gorkin, Mortini
Amer. Math. Monthly 109 (2002), 785-795.
52
k-hulls and support sets in the spectrum of H+C Gorkin, Mortini Archiv Math. 79 (2002), 51-60.
51
An upper bound for the distance to finitely generated ideals in Douglas algebras Gorkin, Mortini, Suarez Studia Math. 148 (2001), 23-36.
50
Localization techniques for division in Douglas algebras Gorkin, Mortini, Suarez Math. Proc. Royal Irish Acad. 101A (2001), 49-60.
49
When do finite Blaschke products commute? Chalendar, Mortini
Bull. Austral. Math. Soc. 64 (2001), 189-200.
48
Higher order hulls in  H∞   II Gorkin, Izuchi, Mortini J. Funct. Analysis 177 (2000), 107-129.

Carleson measure Mortini
In: Encyclopedia of Mathematics, Supplement II ( 2000), Kluwer Academic Publ., p. 107
47
Synthesis sets for  H +C Gorkin, Mortini Indiana Univ. Math. J. 49 (2000), 287-309.
46
Interpolating sequences in the spectrum of  H  I
Mortini
Proc. Amer. Math. Soc. 128 (2000), 1711-1720.

American Mathematical Society
45
A survey of closed ideals in familiar function algebras Gorkin, Mortini Contemp Math. AMS,  232 (1999), 161-170, Function Spaces, Proc. of the third conference on Function Spaces, Edwardsville,1998,
Ed.: K. Jarosz.
44
Division theorems and the Shilov property for  H +C Gorkin, Mortini Pacific J. Math. 189 (1999), 279-292.
43
Decomposable multiplication operators on  H +C. Mortini
Archiv Math. 72 (1999), 64-67.
42
A constructive proof of the Beurling-Rudin theorem. Mortini
Studia Math. 129 (1998), 51-58.
41
The Gleason part structure for H: unsolved problems.
Mortini
Proceedings of the 13th international conference on Banach algebras, Blaubeuren (Germany) 1997, publ. by W.de Gruyter, Berlin, New York, (1998), 554-556
40
Alling's conjecture on closed prime ideals in H Gorkin, Mortini J. Funct. Analysis 148 (1997), 185-190.
39
Commuting inner functions. Mortini
J. Math. Analysis. and Appl. 209 (1997), 724-728.
38
On an example of J. Bourgain on closures of finitely generated ideals. Mortini
Math. Z. 224 (1997), 655-663.

Higher order hulls in H

Gorkin, Mortini
Unpublished manuscript 1996,
Prépublications Math., Metz, 12 (1998)
37
Blaschke products of Sundberg-Wolff type Mortini, Tolokonnikov
Complex Variables 30 (1996), 373-384.
36
Completely continuous multiplication operators in uniform algebras. Mortini Functional Analysis, Proc. of the first international workshop at Trier in 1994. Editors: Dierolf/Dineen/Domanski. Publ. by W.
de Gruyter , Berlin, New York, (1996), 305-312.
35
The generalized corona theorem for H Gorkin, Mortini, Nicolau
Math. Annalen 301 (1995), 135-154.
34
The Bourgain algebras of the disk algebra and the algebra QA Cima, Mortini
Studia Math. 113 (1995), 211-221.
33
On the corona theorem Gorkin, Mortini Proc. 2nd Conf. on ``Function Spaces'' at SIUE. Lect. Notes in Pure and Applied
Math., Marcel Dekker, 1995, p. 147-166.
Ed. K. Jarosz
32
Cyclic subspaces and eigenvectors of the hyperbolic composition operator.  Mortini
Trav. Math. 7 (1995), 69-79.
31
Finitely generated ideals in the disk algebra. Mortini
Bull. Austral. Math. Soc. 50 (1994/95), 521-528.
30
Ideals generated by interpolating Blaschke products. Mortini
Analysis 14 (1994), 67-73.
29
Composition of inner functions Gorkin, Larocco, Mortini, Rupp
Resultate der Mathematik (Results in Mathematics) 25 (1994), 252-269.
28
Simultaneous stabilization of three or more plants: conditions on the positive real axis do not suffice Blondel, Gevers, Mortini, Rupp
SIAM J. on Control and Optimization 32 (1994), 572-590.
27 "Gleason parts and prime ideals in H " and " Some comments to a paper of F. Forelli". Mortini
Linear and Complex Analysis Problem Book 3 (Ed. V.P. Havin, N.K. Nikolski, Springer-Verlag). Lecture Notes Math. 1573 (1994), 136-138, and 1574 (1994), 72.
26
An example of a subalgebra of  H on the unit disk whose stable rank is not finite. Mortini Studia Math. 103 (1992), 275-281.
25
Douglas algebras which are invariant under the Bourgain map Mortini, Younis
Archiv Math. 59 (1992), 371-378.
24
Totally reducible elements in rings of analytic functions Mortini, Rupp
Comm. Algebra. 20 (1992), 1705-1713.
23
Bourgain algebras of Douglas algebras Gorkin, Izuchi, Mortini
Canad. J. Math. 44 (1992), 797-804.
22
Finitely generated radical ideals in H Daepp, Gorkin, Mortini
Proc. Amer. Math. Soc. 116 (1992), 483-488.
21
Stabilization by bistable controllers
Blondel, Gevers, Mortini, Rupp
Technical Report 91.78, Centre for Systems Engineering and Applied Mechanics (1992), Louvain (Belgium). In: Proc. IEEE 31st Conf. on Decision and Control, Tuscon, USA, (1992), 832-833.
20
A constructive proof of the Nullstellensatz for subalgebras of A(K)
Mortini, Rupp Publ. du CUL, Séminaire de Math. de Luxembourg, Travaux mathématiques III (1991), 45-49.
19
Closed and prime ideals of weak Bezout type in H Mortini J. Pure Appl. Algebra. 75 (1991), 63-73.
18
Interpolating Blaschke products and factorization in Douglas algebras Gorkin, Mortini Mich. Math. J. 38 (1991), 147-160.

Simultaneous stabilisation in the disc algebra
Blondel, Mortini, Rupp
Technical Report AP 90.34, Univ. of Louvain, Belgium, 1990.
17
Homeomorphic disks in the spectrum of H Gorkin, Lingenberg, Mortini
Indiana Univ. Math. J. 39 (1990), 961-983.
16
Countably generated prime ideals in algebras of analytic functions. Mortini Complex Variables 14 (1990), 215-222.
15
Corona theorems for subalgebras of H Mortini Michigan Math. J. 36 (1989), 193-202.
14
Zur Idealstruktur von Unterringen der Nevanlinna-Klasse N.
Mortini
Publ. du CUL, Séminaire de Math. de Luxembourg, Travaux mathématiques I (1989), 81-91.
13
Strong extreme points and ideals in uniform algebras Mortini,
v. Renteln
   
Archiv. Math. 52 (1989), 465-470.
12
Ideals in the Wiener algebra W+ Mortini,
v. Renteln
J. Austral. Math. Soc. 46 (1989), 220-228.
11
Some remarkable properties of the Wiener algebra W+ Mortini,
v. Renteln
In: ''Harmonic Analysis'', Proceedings of Int.
Symposium Luxembourg 1987; Lect. Notes Math. 1359 (1988), 218--225.
10
The Chang-Marshall algebras Mortini Mitt. Math. Sem. Giessen 185 (1988), 1-76.
9
F-ideals in QAB Gorkin, Mortini J. London Math. Soc. 37 (1988), 509-519.
8
A Beurling-Rudin theorem for H Gorkin, Hedenmalm, Mortini
Illinois J. Math. 31 (1987), 629-644.
7
Closed and prime ideals in the algebra of bounded analytic functions. Mortini Bull. Austral. Math. Soc. 35 (1987), 213-229.
6
Prime ideals in the algebra An(D). Mortini Complex Variables 6 (1986), 337-345.
5
Finitely generated prime ideals in  H and A(D). Mortini Math. Z. 191 (1986), 297-302.
4
Finitely generated closed ideals in  H Mortini Archiv. Math. 45 (1985), 546-548.
3
The Forelli problem concerning ideals in the disk algebra A(D). Mortini
Proc. Amer. Math. Soc. 95 (1985), 261-264.
Zur Idealstruktur der Disk-Algebra A(D) und der Algebra H. Mortini
Dissertation, Universität Karlsruhe, 1984.
1
Die Potenzreihe ∑npzn Mortini Elem. Math. 38 (1983), 49-51.














For proposals and solutions of exercises (Amer. Math. Monthly, EMS, Elem. Math.), see  page 2



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updated: 06.06.2018