Stability of dual g-fusion frames in Hilbert spaces

TL;DR

This paper characterizes K-g-fusion frames in Hilbert spaces and investigates the stability of their duals, providing conditions for bounded quotient operators, which enhances understanding of frame stability in functional analysis.

Contribution

It introduces a new characterization of K-g-fusion frames and establishes criteria for the stability of their duals, including boundedness conditions for quotient operators.

Findings

Characterization of K-g-fusion frames

Necessary and sufficient conditions for dual frame stability

Boundedness criteria for quotient operators

Abstract

We give a characterization of K-g-fusion frames and discuss the stability of dual g-fusion frames. We also present a necessary and sufficient condition for a quotient operator to be bounded.