Composition operators on Hilbert spaces of entire Dirichlet series

被引：1

作者：

Hou Xiaolu ^{[1
]}

Hu Bingyang ^{[1
]}

Khoi, Le Hai ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore

来源：

COMPTES RENDUS MATHEMATIQUE | 2012年 / 350卷 / 19-20期

关键词：

D O I：

10.1016/j.crma.2012.10.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this Note, we introduce Hilbert spaces of entire Dirichlet series (with real frequencies) and consider composition operators on these spaces. We establish necessary and sufficient conditions for such series to have Ritt order zero, as well as a finite logarithmic order. Criteria for action, boundedness, compactness and compact difference of such operators are obtained. (C) 2012 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：875 / 878

页数：4

共 50 条

[31] Composition operators on Hilbert spaces of entire functions with analytic symbols
Stochel, Jan
Stochel, Jerzy Bartlomiej
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 454 (02) : 1019 - 1066
[32] Numerical range of composition operators on a Hilbert space of Dirichlet series
Finet, C
Queffélec, H
LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 377 : 1 - 10
[33] INVARIANT SUBSPACES OF COMPOSITION OPERATORS ON A HILBERT SPACE OF DIRICHLET SERIES
Wang, Maofa
Yao, Xingxing
ANNALS OF FUNCTIONAL ANALYSIS, 2015, 6 (04): : 179 - 190
[34] Approximation numbers of composition operators on a Hilbert space of Dirichlet series
Queffelec, Herve
INVARIANT SUBSPACES OF THE SHIFT OPERATOR, 2015, 638 : 1 - 19
[35] Complex symmetric composition operators on a Hilbert space of Dirichlet series
Yao, Xingxing
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 452 (02) : 1413 - 1419
[36] Semigroups of composition operators on Hardy spaces of Dirichlet series
Contreras, Manuel D.
Gomez-Cabello, Carlos
Rodriguez-Piazza, Luis
JOURNAL OF FUNCTIONAL ANALYSIS, 2023, 285 (09)
[37] Composition operators on weighted Bergman spaces of Dirichlet series
Bailleul, Maxime
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 426 (01) : 340 - 363
[38] Closed range and cyclicity of composition operators on Hilbert spaces of entire functions
Doan, Minh Luan
Khoi, Le Hai
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (11) : 1558 - 1569
[39] Some properties of composition operators on entire Dirichlet series with real frequencies
Hou Xiaolu
Khoi, Le Hai
COMPTES RENDUS MATHEMATIQUE, 2012, 350 (3-4) : 149 - 152
[40] COMPLEX SYMMETRY OF WEIGHTED COMPOSITION OPERATORS ON A HILBERT SPACE OF DIRICHLET SERIES
Yao, Xingxing
OPERATORS AND MATRICES, 2021, 15 (04): : 1597 - 1606

← 1 2 3 4 5 →