Controlled Integral Frames for Hilbert $C^{\ast}$-Modules

TL;DR

This paper extends the concept of controlled frames from Hilbert spaces to Hilbert $C^{\

Contribution

It introduces and studies controlled integral frames within Hilbert $C^{\

Findings

Extended controlled frame theory to Hilbert $C^{\

established characterizations of integral frames in Hilbert $C^{\

Abstract

The notion of controlled frames for Hilbert spaces were introduced by Balazs, Antoine and Grybos to improve the numerical efficiency of iterative algorithms for inverting the frame operator. Controlled Frame Theory has a great revolution in recent years. This Theory have been extended from Hilbert spaces to Hilbert $C^{\ast}$-modules. In this paper we introduce and study the extension of this notion to integral frame for Hilbert $C^{\ast}$-module. Also we give some characterizations between integral frame in Hilbert $C^{\ast}$-module