Invertibility of matrix type operators of infinite order with exponential off-diagonal decay
Functional Analysis
2023-03-16 v1
Abstract
We analyse various exponential off-diagonal decay rates of the elements of infinite matrices and their inverses. It is known that such decay of the elements of an infinite matrix does not imply inverse--closeness, i.e. the inverse, if exists, does not have the same order of decay. We discuss some consequences and extensions of this result.
Keywords
Cite
@article{arxiv.2303.06243,
title = {Invertibility of matrix type operators of infinite order with exponential off-diagonal decay},
author = {Stevan Pilipovic and Bojan Prangoski and Milica Zigic},
journal= {arXiv preprint arXiv:2303.06243},
year = {2023}
}