$\ast$-g-frames in tensor products of hilbert $C^{\ast}$-modules

TL;DR

This paper investigates the properties of $ ext{ extasterisk}$-g-frames within tensor products of Hilbert $C^{ ext{ extasterisk}}$-modules, establishing that tensor products of such frames retain their frame structure.

Contribution

It proves that the tensor product of two $ ext{ extasterisk}$-g-frames in Hilbert $C^{ ext{ extasterisk}}$-modules is itself a $ ext{ extasterisk}$-g-frame, expanding the understanding of frame behavior in tensor product spaces.

Findings

Tensor product of two $ ext{ extasterisk}$-g-frames is a $ ext{ extasterisk}$-g-frame.

Established foundational properties of $ ext{ extasterisk}$-g-frames in tensor product modules.

Contributed to the theory of frames in Hilbert $C^{ ext{ extasterisk}}$-modules.

Abstract

In this paper, we study $\ast$-g-frames in tensor products of Hilbert $C^{\ast}$-modules. We show that a tensor product of two $\ast$-g-frames is a $\ast$-g-frames, and we get some result.