Continuous Controlled K-G-Frames for Hilbert $C^\ast$-modules

TL;DR

This paper introduces and studies Continuous Controlled K-g-Frames in Hilbert C*-modules, extending the discrete version and establishing foundational results for this generalized frame concept.

Contribution

It presents the new concept of Continuous Controlled K-g-Frames in Hilbert C*-modules and generalizes the existing discrete controlled K-g-frames, providing foundational results.

Findings

Introduction of Continuous Controlled K-g-Frames

Generalization from discrete to continuous frames

Establishment of initial theoretical results

Abstract

Frame Theory has a great revolution for recent years. This Theory has been extended from Hilbert spaces to Hilbert $C^{\ast}$-modules. The purpose of this paper is the introduction and the study of the new concept that of Continuous Controlled K-g-Frame for Hilbert $C^{\ast}$-Modules wich is a generalizations of discrete Controlled K-g-Frames in Hilbert $C^{\ast}$-Modules. Also we establish some results.