Mathematical Analysis and its Contemporary Applications

*-woven frames of multipliers in Hilbert C*-modules

10.30495/maca.2025.2046672.1116
Volume 6, Issue 4
Autumn 2024
Pages 35-44
Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Author

Sedigheh Hosseini

Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran

Abstract
In the current article, by using the sequence of adjointable operators from a $C^*$-algebra $\mathcal A$ into Hilbert $\mathcal A$-module $\mathcal H$, the $*$-woven frames of multipliers in Hilbert $C^*$-modules are introduced. Applying invertible elements in $L(\mathcal H)$, the set of all bounded $\mathcal A$-module maps from $\mathcal H$ into itself, and co-isometry mappings some new $*$-woven frames of multipliers in Hilbert $\mathcal A$-module $\mathcal H$ are constructed. Moreover, a woven frame of multipliers in $\mathcal A$ as a Hilbert $C^*$-module is indicated.

Keywords

Hilbert $C^*$-modules
Woven frame, Multipliers, $*$-frame
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  • Receive Date 24 November 2024
  • Accept Date 23 December 2025

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