COMPACT OPERATORS ON HILBERT MODULES

被引：5

作者：

Anoussis, M. ^{[1
]}

Todorov, I. G. ^{[1
]}

机构：

[1] Univ Aegean, Dept Math, Karlovassi 83200, Samos, Greece

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 01期

关键词：

Contractive perturbations; compact operators; Hilbert modules;

D O I：

10.1090/S0002-9939-04-07591-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that an adjointable contraction acting on a countably generated Hilbert module over a separable unital C*-algebra is compact if and only if the set of its second contractive perturbations is separable.

引用

页码：257 / 261

页数：5

共 50 条

[1] COMPACT AND "COMPACT" OPERATORS ON STANDARD HILBERT MODULES OVER W*-ALGEBRAS
Keakic, Dragoljub J.
Lazovic, Zlatko
ANNALS OF FUNCTIONAL ANALYSIS, 2018, 9 (02): : 258 - 270
[2] Diagonalization of compact operators on Hilbert modules overC*-algebras of real rank zero
V. M. Manuilov
Mathematical Notes, 1997, 62 : 726 - 730
[3] Diagonalization of compact operators on Hilbert modules over C*-algebras of real rank zero
Manuilov, VM
MATHEMATICAL NOTES, 1997, 62 (5-6) : 726 - 730
[4] Inequalities for eigenvalues of compact operators in a Hilbert space
Gil, Michael
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2016, 18 (01)
[5] Compact operators on non-classical Hilbert spaces
Ochsenius, H
Schikhof, WH
ULTRAMETRIC FUNCTIONAL ANALYSIS, 2003, 319 : 239 - 249
[6] IDEALS OF COMPACT OPERATORS WITH NAKANO TYPE NORMS IN A HILBERT SPACE
Gil, Michael
OPERATORS AND MATRICES, 2012, 6 (03): : 493 - 501
[7] A Note on the Krylov Solvability of Compact Normal Operators on Hilbert Space
Noè Angelo Caruso
Complex Analysis and Operator Theory, 2023, 17
[8] A Note on the Krylov Solvability of Compact Normal Operators on Hilbert Space
Caruso, Noe Angelo
COMPLEX ANALYSIS AND OPERATOR THEORY, 2023, 17 (07)
[9] COMPACT AND HILBERT-SCHMIDT WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES
Lo, Ching-On
Loh, Anthony Wai-Keung
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2022, 113 (02) : 208 - 225
[10] Hilbert A-modules
Cerreia-Vioglio, S.
Maccheroni, F.
Marinacci, M.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 446 (01) : 970 - 1017

← 1 2 3 4 5 →