Fusion frame and its alternative dual in tensor product of Hilbert spaces

TL;DR

This paper explores fusion frames within tensor products of Hilbert spaces, analyzing their properties, the resolution of the identity operator, and introducing an alternative dual concept for these frames.

Contribution

It introduces an alternative dual for fusion frames in tensor product Hilbert spaces and discusses their properties and the resolution of the identity operator.

Findings

Properties of fusion frames in tensor product spaces analyzed

Resolution of the identity operator discussed

Alternative dual for fusion frames proposed

Abstract

We study fusion frame in tensor product of Hilbert spaces and discuss some of its properties. The resolution of the identity operator on a tensor product of Hilbert spaces is being discussed. An alternative dual of a fusion frame in tensor product of Hilbert spaces is being presented.