Title

Perturbation Of Frames And Riesz Bases In Hilbert C*-Modules

Keywords

Frames; Hilbert C -modules *; Perturbations; Riesz bases

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.

Publication Date

8-1-2009

Publication Title

Linear Algebra and Its Applications

Volume

431

Issue

5-7

Number of Pages

746-759

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.laa.2009.03.025

Socpus ID

67349118860 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/67349118860

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