Title

Riesz Bases And Their Dual Modular Frames In Hilbert C*-Modules

Keywords

Dual sequences; Frames; Hilbert C -modules *; Riesz bases

Abstract

We investigate dual frames of modular frames and Riesz bases in Hilbert C*-modules. In Hilbert C*-modules, a Riesz basis may have many dual modular frames, and it may even admit two different dual modular frames both of which are Riesz bases. We characterize those Riesz bases that have unique duals. In addition, we obtain a necessary and sufficient condition for a dual of a Riesz basis to be again a Riesz basis, and prove some new related results. © 2008.

Publication Date

7-1-2008

Publication Title

Journal of Mathematical Analysis and Applications

Volume

343

Issue

1

Number of Pages

246-256

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.jmaa.2008.01.013

Socpus ID

41449085885 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/41449085885

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