Construction of continuous controlled K-g-fusion frames in Hilbert spaces

TL;DR

This paper introduces continuous controlled K-g-fusion frames in Hilbert spaces, generalizing discrete versions, and explores their properties, relationships with quotient operators, and stability aspects.

Contribution

It presents the novel concept of continuous controlled K-g-fusion frames and investigates their characterizations, relationships, and stability in Hilbert spaces.

Findings

Characterization of continuous controlled K-g-fusion frames

Relationship with quotient operators established

Stability conditions for continuous controlled g-fusion frames analyzed

Abstract

We present the notion of continuous controlled K-g-fusion frame in Hilbert space which is the generalization of discrete controlled K-g-fusion frame. We discuss some characterizations of continuous controlled K-g-fusion frame. Relationship between continuous controlled K-g-fusion frame and quotient operator is being studied. Finally, stability of continuous controlled g-fusion frame has been described.