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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
ORCID:
Education: PhD.
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Research

Title
CONTROLLED MULTIPLIERS WITH TWO OPERATORS IN HILBERT C∗-MODULES
Type
JournalPaper
Keywords
Frame, Controlled frame, Hilbert C∗-module, Multiplier operator
Year
2021
Journal TWMS Journal of Applied and Engineering Mathematics
DOI
Researchers Mehdi Rashidi-Kouchi ، Asghar Rahimi

Abstract

Improving and extending the notion of controlled frames, in this paper, we introduce controlled frames with two operators for Hilbert C∗-modules. This generalize controlled frames in Hilbert and Hilbert C∗-module. We show, in Hilbert C∗-module setting, controlled frame with two operators is classical frame. Also, we investigate controlled multiplier operators and their invertibility in Hilbert C∗-modules. We show that the inverse of controlled frame multiplier with two operators is controlled frame multiplier too.