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Controlled Frame for Operator in Hilbert c∗-Modules

Author

Listed:
  • Hatim Labrigui
  • Abdeslam Touri
  • Mohamed Rossafi
  • Samir Kabbaj
  • Sumit Chandok

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.

Suggested Citation

  • Hatim Labrigui & Abdeslam Touri & Mohamed Rossafi & Samir Kabbaj & Sumit Chandok, 2022. "Controlled Frame for Operator in Hilbert c∗-Modules," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2022, pages 1-8, March.
    • Handle: RePEc:hin:jijmms:7296689
    DOI: 10.1155/2022/7296689
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