Controlled Frame for Operator in Hilbert c∗-Modules

Hatim Labrigui, Abdeslam Touri, Mohamed Rossafi, Samir Kabbaj and Sumit Chandok

International Journal of Mathematics and Mathematical Sciences, 2022, vol. 2022, 1-8

Abstract: In this study, we will introduce a new concept, which is a controlled K-operator frame for the space of all adjointable operators on a Hilbert A-module ℋ which denoted EndA∗ℋ, where A is a C∗-algebra. Also, we establish some results of the controlled K-operator frame in EndA∗ℋ. The presented results are new and of interest for people working in this area. Some illustrative examples are provided to advocate the usability of our results.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:7296689

DOI: 10.1155/2022/7296689

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