Atomic subspaces for operators
Functional Analysis
2020-05-22 v3
Abstract
This paper introduces the concept of atomic subspaces with respect to a bounded linear operator. Atomic subspaces generalize fusion frames and this generalization leads to the notion of -fusion frames. Characterizations of -fusion frames are discussed. Various properties of -fusion frames, for example, direct sums, intersection, are studied.
Keywords
Cite
@article{arxiv.1705.06042,
title = {Atomic subspaces for operators},
author = {Animesh Bhandari and Saikat Mukherjee},
journal= {arXiv preprint arXiv:1705.06042},
year = {2020}
}
Comments
11 pages, To appear in Indian Journal of Pure and Applied Mathematics (2020)