Controlled Frame for Operator in Hilbert c∗-Modules. (14th March 2022)

• Record Type: Journal Article
• Authors: Labrigui, Hatim; Touri, Abdeslam; Rossafi, Mohamed; Kabbaj, Samir
• Other Names: Chandok Sumit Academic Editor.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 2022(2022)
• Publication Date: 2022-03-14
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/2022/7296689
• Languages: English
• ISSNs: 0161-1712

Abstract

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 End A ∗ ℋ, where A is a C ∗ -algebra. Also, we establish some results of the controlled K -operator frame in End A ∗ 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.