Generalized atomic subspaces for operators in Hilbert spaces
Functional Analysis
2024-03-12 v1
Abstract
We introduce the notion of a g-atomic subspace for a bounded linear operator and construct several useful resolutions of the identity operator on a Hilbert space using the theory of g-fusion frames. Also we shall describe the concept of frame operator for a pair of g-fusion Bessel sequences and some of their properties.
Cite
@article{arxiv.2102.01965,
title = {Generalized atomic subspaces for operators in Hilbert spaces},
author = {Prasenjit Ghosh and T. K. Samanta},
journal= {arXiv preprint arXiv:2102.01965},
year = {2024}
}
Comments
22 pages