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arXiv · 2303.06243

Invertibility of matrix type operators of infinite order with exponential off-diagonal decay

Stevan Pilipovic·Bojan Prangoski·Milica Zigic
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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.

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Stevan Pilipovic, Bojan Prangoski, Milica Zigic. 2023-03-10. Invertibility of matrix type operators of infinite order with exponential off-diagonal decay. https://doi.org/10.1016/j.laa.2019.08.013

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