Controlled g-atomic subspaces for operators in Hilbert spaces
Functional Analysis
2023-03-29 v2
Abstract
Controlled g-atomic subspace for a bounded linear operator is being presented and a characterization has been given. We give an example of controlled K-g-fusion frame. We construct a new controlled K-g-fusion frame for the Hilbert space H ? X using the controlled K-g-fusion frames of the Hilbert spaces H and X. Several useful resolutions of the identity operator on a Hilbert space using the theory of controlled g-fusion frames have been discussed. Frame operator for a pair of controlled g-fusion Bessel sequences has been introduced.
Cite
@article{arxiv.2108.01467,
title = {Controlled g-atomic subspaces for operators in Hilbert spaces},
author = {Prasenjit Ghosh and T. K. Samanta},
journal= {arXiv preprint arXiv:2108.01467},
year = {2023}
}
Comments
21 pages. arXiv admin note: text overlap with arXiv:2102.01965