A note on composition operators on spaces of real analytic functions

被引：5

作者：

Domanski, Pawel ^{[1
]}

Golinski, Michal ^{[2
]}

Langenbruch, Michael ^{[3
]}

机构：

[1] Polish Acad Sci, Inst Math, Poznan Branch, PL-61614 Poznan, Poland

[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

[3] Carl von Ossietzky Univ Oldenburg, Dept Math, D-26111 Oldenburg, Germany

来源：

ANNALES POLONICI MATHEMATICI | 2012年 / 103卷 / 02期

关键词：

space of real analytic functions; composition operator; semiproper map; closed range map; open map; extension of analytic functions from an analytic set; DIFFERENTIABLE FUNCTIONS; SETS;

D O I：

10.4064/ap103-2-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize composition operators on spaces of real analytic functions which are open onto their images. We give an example of a semiproper map phi such that the associated composition operator is not open onto its image.

引用

页码：209 / 216

页数：8

共 50 条

[1] A Note on the Spectrum of Composition Operators on Spaces of Real Analytic Functions
José Bonet
Paweł Domański
[J]. Complex Analysis and Operator Theory, 2017, 11 : 161 - 174
[2] A Note on the Spectrum of Composition Operators on Spaces of Real Analytic Functions
Bonet, Jose
Domanski, Pawe
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2017, 11 (01) : 161 - 174
[3] Composition operators on spaces of real analytic functions
Domanski, P
Langenbruch, M
[J]. MATHEMATISCHE NACHRICHTEN, 2003, 254 : 68 - 86
[4] Hypercyclic composition operators on spaces of real analytic functions
Bonet, Jose
Domanski, Pawel
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2012, 153 : 489 - 503
[5] Composition operators with closed image on spaces of real analytic functions
Domanski, P.
Langenbruch, M.
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2006, 38 : 636 - 646
[6] Convolution operators on spaces of real analytic functions
Langenbruch, Michael
[J]. MATHEMATISCHE NACHRICHTEN, 2013, 286 (8-9) : 908 - 920
[7] COMPOSITION OPERATORS ON BANACH SPACES OF ANALYTIC FUNCTIONS
Mastylo, Mieczyslaw
Mleczko, Pawel
[J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2019, 44 : 601 - 613
[8] SEMIGROUPS OF COMPOSITION OPERATORS AND INTEGRAL OPERATORS IN SPACES OF ANALYTIC FUNCTIONS
Blasco, Oscar
Contreras, Manuel D.
Diaz-Madrigal, Santiago
Martinez, Josep
Papadimitrakis, Michael
Siskakis, Aristomenis G.
[J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2013, 38 (01) : 67 - 89
[9] Topological structures of the spaces of composition operators on spaces of analytic functions
Manhas, J. S.
[J]. FUNCTION SPACES, 2007, 435 : 283 - 299
[10] Hypercyclicity of Composition Operators on Banach Spaces of Analytic Functions
Colonna, Flavia
Martinez-Avendano, Ruben A.
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (01) : 305 - 323

← 1 2 3 4 5 →