Title

Perturbation of frames and Riesz bases in Hilbert C*-modules

Authors

Authors

D. G. Han; W. Jing;R. N. Mohapatra

Comments

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Abbreviated Journal Title

Linear Alg. Appl.

Keywords

Perturbations; Frames; Riesz bases; Hilbert C*-modules; Mathematics, Applied; Mathematics

Abstract

We extend the Casazza-Christensen general perturbation theorem for Hilbert space frames to modular frames in Hilbert C*-modules. In the Hilbert space setting, under the same perturbation condition, the perturbation of any Riesz basis remains to be a Riesz basis. However, this result is no longer true for Riesz bases in Hilbert C*-modules. We obtain a necessary and sufficient condition under which the perturbation (under Casazza-Christensen's perturbation condition) of Riesz bases of Hilbert C*-modules remains to be Riesz bases. Published by Elsevier Inc.

Journal Title

Linear Algebra and Its Applications

Volume

431

Issue/Number

5-7

Publication Date

1-1-2009

Document Type

Article

Language

English

First Page

746

Last Page

759

WOS Identifier

WOS:000267316800021

ISSN

0024-3795

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