Weaving continuous controlled K-g-fusion frames in Hilbert spaces

TL;DR

This paper introduces and characterizes weaving continuous controlled K-g-fusion frames in Hilbert spaces, extending recent results and analyzing their stability under perturbations.

Contribution

It defines the concept of weaving continuous controlled K-g-fusion frames and extends existing results to this new framework, including perturbation analysis.

Findings

Characterization of weaving continuous controlled K-g-fusion frames

Extension of woven K-g-fusion frame results to continuous case

Perturbation stability of woven continuous controlled K-g-fusion frames

Abstract

We introduce the notion of weaving continuous controlled K-g-fusion frame in Hilbert space. Some characterizations of weaving continuous controlled K-g-fusion frame have been presented. We extend some of the recent results of woven K-g-fusion frame and controlled K-g-fusion frame to woven continuous controlled K-g-fusion frame. Finally, a perturbation result of woven continuous controlled K-g-fusion frame has been studied.