G-atomic submodules for operators in Hilbert C∗-modules
Abstract
In this paper, we introduce the notion of g-atomic submodule for an adjointable operator and resolution of the identity operator on Hilbert C∗-modules, also we give some properties. Finally, we study the concept of frame operator for a pair of g−fusion Bessel sequences.
Copyright © 2021 Fakhr-Dine Nhari, 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
F.-D. Nhari, M. Rossafi, G-atomic submodules for operators in Hilbert C∗-modules, J. Math. Comput. Sci. 11 (2021), 8146–8172. https://doi.org/10.28919/jmcs/6783
BibTeX
@article{Nhari2021,
author = {Nhari, Fakhr-Dine and Rossafi, Mohamed},
title = {G-atomic submodules for operators in Hilbert C∗-modules},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {8146--8172},
doi = {10.28919/jmcs/6783}
}