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

Prasenjit Ghosh, T. K. Samanta

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.

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

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.

Paper Structure

This paper contains 9 sections, 63 equations.

Table of Contents

  1. Introduction and Preliminaries
  2. $K$-$g$-fusion frame
  3. Controlled $K$-$g$-fusion frame
  4. $gc$-fusion frame
  5. Continuous controlled $g$-fusion frame
  6. Weaving frame
  7. Weaving continuous controlled $K$-$g$-fusion frame
  8. Example
  9. Perturbation of woven continuous controlled $g$-fusion frame

Theorems & Definitions (14)

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