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

    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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