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
Copyright Status
Unknown
Socpus ID
67349118860 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/67349118860
STARS Citation
Han, Deguang; Jing, Wu; and Mohapatra, Ram N., "Perturbation Of Frames And Riesz Bases In Hilbert C*-Modules" (2009). Scopus Export 2000s. 11740.
https://stars.library.ucf.edu/scopus2000/11740