Continuous relay fusion frame in Hilbert spaces

TL;DR

This paper introduces the concept of continuous relay fusion frames in Hilbert spaces, defines their duals, and investigates their stability under perturbations, expanding the theoretical framework of frame theory.

Contribution

It presents the novel concept of continuous relay fusion frames, defines their duals, and analyzes their perturbation stability, advancing the understanding of frame structures in Hilbert spaces.

Findings

Defined continuous relay fusion frames in Hilbert spaces

Established the dual frame concept for these frames

Studied the perturbation stability of continuous relay fusion frames

Abstract

In this paper we introduced the concept of continuous relay fusion frames in Hilbert spaces. And we define the dual frames for continuous relay fusion frames. Finally we study the perturbation probleme of continuous relay fusion frames.