On Controlled Frames in Hilbert \(C^\)-modules

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 fra...

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Bibliographic Details
Published in:arXiv.org 2017-04
Main Authors: Rashidi-Kouchi, Mehdi, Rahimi, Asghar
Format: Article
Language:English
Subjects:
Frames
Hilbert space
Modules
Operators
Online Access:Get full text
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Summary: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.
ISSN:2331-8422