Continuous controlled generalized fusion frames in Hilbert spaces
Functional Analysis
2021-10-22 v1
Abstract
We introduce the notion of continuous controlled g-fusion frame in Hilbert space which is the generalization of discrete controlled g-fusion frame and give an example. Some characterizations of continuous controlled g-fusion frame have been presented. We define the frame operator and multiplier of continuous controlled g-fusion Bessel families in Hilbert spaces. Continuous resolution of the identity operator on a Hilbert space using the theory of continuous controlled g-fusion frame is being considered. Finally, we discuss perturbation results of continuous controlled g-fusion frame.
Cite
@article{arxiv.2110.11234,
title = {Continuous controlled generalized fusion frames in Hilbert spaces},
author = {Prasenjit Ghosh and T. K. Samanta},
journal= {arXiv preprint arXiv:2110.11234},
year = {2021}
}
Comments
25 pages. arXiv admin note: substantial text overlap with arXiv:2108.01467