Title

Riesz bases and their dual modular frames in Hilbert C*-modules

Authors

Authors

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

Comments

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Abbreviated Journal Title

J. Math. Anal. Appl.

Keywords

frames; Riesz bases; dual sequences; Hilbert C*-modules; ALGEBRAS; Mathematics, Applied; Mathematics

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. (c) 2008 Published by Elsevier Inc.

Journal Title

Journal of Mathematical Analysis and Applications

Volume

343

Issue/Number

1

Publication Date

1-1-2008

Document Type

Article

Language

English

First Page

246

Last Page

256

WOS Identifier

WOS:000255653900022

ISSN

0022-247X

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