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Archives › Volume 11, Number 6 (2021)

J. Math. Comput. Sci. 11 (2021), 8306–8322

K-operator frame for Hom∗A(X)

Mohamed Rossafi, Roumaissae El Jazzar, Samir Kabbaj

Abstract

In this work, we introduce the notion of K-operator frame for the set of all adjointable operators Hom∗A(X) on a Hilbert pro-C∗-module X. We also study the tensor product of K-operator frame for Hilbert pro-C∗-modules. Finally, we establish its dual and some properties.

Published
29 October 2021
Volume
11 (2021)
License
CC BY 3.0

Copyright © 2021 Mohamed Rossafi, Roumaissae El Jazzar, Samir Kabbaj. 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. Rossafi, R. El Jazzar, S. Kabbaj, K-operator frame for Hom∗A(X), J. Math. Comput. Sci. 11 (2021), 8306–8322. https://doi.org/10.28919/jmcs/6806

BibTeX
@article{Rossafi2021,
  author  = {Rossafi, Mohamed and El Jazzar, Roumaissae and Kabbaj, Samir},
  title   = {K-operator frame for Hom∗A(X)},
  journal = {J. Math. Comput. Sci.},
  volume  = {11},
  year    = {2021},
  pages   = {8306--8322},
  doi     = {10.28919/jmcs/6806}
}