Continuous Controlled K-Frame for Hilbert $C^{\ast}$-Modules

TL;DR

This paper introduces the concept of Continuous Controlled K-Frames within Hilbert C*-Modules, extending the discrete version to a continuous setting, which broadens the theoretical framework for these mathematical structures.

Contribution

The paper generalizes discrete Controlled K-Frames to continuous ones in Hilbert C*-Modules, providing new theoretical insights and potential applications.

Findings

Defined continuous controlled K-frames in Hilbert C*-Modules

Extended the theory from discrete to continuous frameworks

Laid groundwork for future research in continuous frame theory

Abstract

In this paper, we introduce and we study the concept of Continuous Controlled K-Frame for Hilbert $C^{\ast}$-Modules wich are generalizations of discrete Controlled K-Frames.