Integral Operator Frames on Hilbert C*-modules
Functional Analysis
2023-01-19 v1
Abstract
Introduced by Duffin and Schaefer as a part of their work on nonhamonic fourrier series in 1952, the theory of frames has undergone a very interesting evolution in recent decades following the multiplicity of work carried out in this field. In this work, we introduce a new concept that of integral operator frame for the set of all adjointable operators on a Hilbert C*-modules H and we give some new propertis relating for some construction of integral operator frame, also we establish some new results. Some illustrative examples are provided to advocate the usability of our results.
Keywords
Cite
@article{arxiv.2301.07217,
title = {Integral Operator Frames on Hilbert C*-modules},
author = {Hatim Labrigui and Mohamed Rossafi and Abdeslam Touri and Nadia Assila},
journal= {arXiv preprint arXiv:2301.07217},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2012.00134