Continuous generalized atomic subspaces for operators in Hilbert spaces
Functional Analysis
2024-09-10 v2
Abstract
In this paper, we introduce the concept of continuous atomic subspace for a bounded linear operator and gives several useful continuous resolution of the identity operator on a Hilbert space by implies the theory of continuous fusion frames. Moreover, we introduce the concept of continuous frame operator for a pair of continuous fusion bessel sequences.
Cite
@article{arxiv.2306.03108,
title = {Continuous generalized atomic subspaces for operators in Hilbert spaces},
author = {Mohamed Rossafi and Fakhr-dine Nhari and Abdeslam Touri},
journal= {arXiv preprint arXiv:2306.03108},
year = {2024}
}