Constructions of bi-g-fusion frame in Hilbert space

TL;DR

This paper introduces the concept of bi-g-fusion frames in Hilbert spaces, generalizing controlled g-fusion frames, and explores their properties and applications in tensor product spaces.

Contribution

It presents the novel concept of bi-g-fusion frames, extending the framework of controlled g-fusion frames and analyzing their behavior in tensor product Hilbert spaces.

Findings

Bi-g-fusion frames are successfully defined and exemplified.

The paper extends the theory to tensor product Hilbert spaces.

Potential applications in signal processing and functional analysis are discussed.

Abstract

The concept of a bi-g-fusion frame for a Hilbert space, which is a generalizations of a controlled g-fusion frame, is introduced and an example is given. Finally, bi-g-fusion frame in tensor product of Hilbert spaces is considered.