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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
On controlled frames in Hilbert C∗-modules
Type
JournalPaper
Keywords
Frame; controlled frame; weighted frame; Hilbert C∗-module; multiplier
Year
2017
Journal International Journal of Wavelets Multiresolution and Information Processing
DOI
Researchers Mehdi Rashidi-Kouchi ، Asghar Rahimi

Abstract

In this paper, we introduce controlled frames in Hilbert C∗-modules and we show that they share many useful properties with their corresponding notions in Hilbert space. Next, we give a characterization of controlled frames in Hilbert C∗-module. Also multiplier operators for controlled frames in Hilbert C∗-modules will be defined and some of its properties will be shown. Finally, we investigate weighted frames in Hilbert C∗- modules and verify their relations to controlled frames and multiplier operators.