Controlled $K$-Fusion Frame for Hilbert Spaces
Functional Analysis
2020-07-13 v1 Operator Algebras
Abstract
-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled -fusion frames, and we develop some results on the controlled -fusion frames for Hilbert spaces, which generalized some well known of controlled fusion frames case. also we discuss some characterizations of controlled Bessel -fusion sequences and of controlled Bessel -fusion. Further, we analyse stability conditions of controlled -fusion frames under perturbation.
Keywords
Cite
@article{arxiv.2007.05110,
title = {Controlled $K$-Fusion Frame for Hilbert Spaces},
author = {N. Assila and S. Kabbaj and B. Moalige},
journal= {arXiv preprint arXiv:2007.05110},
year = {2020}
}