Controlled ${\ast}$-operator Frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$

TL;DR

This paper introduces controlled *-operator frames within the algebra of adjointable operators on a Hilbert module, providing new characterizations and properties to enhance understanding of their structure.

Contribution

It presents the concept of controlled *-operator frames for adjointable operators on Hilbert modules, offering new characterizations and properties not previously explored.

Findings

Characterization of controlled *-operator frames

Properties of controlled *-operator frames

Extension of frame theory to Hilbert modules

Abstract

In this paper we study the concept of controlled $\ast$-operator frmae for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$. Also we discuss characterizations of controlled $\ast$-operator frames and we give some properties