Communications of the
Korean Mathematical Society CKMS

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Commun. Korean Math. Soc. 2021; 36(2): 257-266

Online first article November 16, 2020      Printed April 30, 2021

https://doi.org/10.4134/CKMS.c200179

Copyright © The Korean Mathematical Society.

The woven frame of multipliers in Hilbert $C^*$-modules

Mona Naroei Irani, Akbar Nazari

Islamic Azad University; Shahid Bahonar University of Kerman

Abstract

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In this paper, by using the sequence of adjointable operators from $ C^* $-algebra $ \mathcal{A} $ into Hilbert $ \mathcal{A} $-module $ E, $ the woven frames of multipliers in Hilbert $ C^* $-modules are introduced. Meanwhile, we study the effect of operators on these frames and, also we construct the new woven frame of multipliers in Hilbert $ \mathcal{A} $-module $ \mathcal{A}. $ Finally, compositions of woven frames of multipliers in Hilbert $ C^* $-modules are studied.

Keywords: Hilbert $C^*$-modules, woven frame of multipliers, the frame of multipliers

MSC numbers: 42C15, 46L08

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