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

    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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