학술논문
Riesz bases and their dual modular frames in Hilbert -modules
Document Type
Article
Author
Source
Subject
*RIESZ spaces
*HILBERT modules
*MODULAR forms
*FRAMES (Vector analysis)
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*
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Language
ISSN
0022-247X
Abstract
Abstract: We investigate dual frames of modular frames and Riesz bases in Hilbert -modules. In Hilbert -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. [Copyright &y& Elsevier]