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J. Math. Comput. Sci. 12 (2022), Article ID 5

∗-K-g-frames and their duals for Hilbert A-modules

M’Hamed Ghiati, Samir Kabbaj, Hatim Labrigui, Abdeslam Touri, Mohamed Rossafi

Abstract

Frame theory has a great revolution in recent years. This new Theory have been extended from Hilbert spaces to Hilbert C∗-modules. In this paper, we introduce the notion of dual ∗-K-g-frames in Hilbert A -modules. Lastly we study ∗-K-g-frames in tensor product of Hilbert C∗-Modules and we establish some new results.

Published
22 November 2021
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2021 M’Hamed Ghiati, Samir Kabbaj, Hatim Labrigui, Abdeslam Touri, Mohamed Rossafi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

M. Ghiati, S. Kabbaj, H. Labrigui, A. Touri, M. Rossafi, ∗-K-g-frames and their duals for Hilbert A-modules, J. Math. Comput. Sci. 12 (2022), 5. https://doi.org/10.28919/jmcs/6819

BibTeX
@article{Ghiati2022,
  author  = {Ghiati, M’Hamed and Kabbaj, Samir and Labrigui, Hatim and Touri, Abdeslam and Rossafi, Mohamed},
  title   = {∗-K-g-frames and their duals for Hilbert A-modules},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {5},
  doi     = {10.28919/jmcs/6819}
}