Dichotomy between operators acting on finite and infinite dimensional Hilbert spaces
Functional Analysis
2022-03-02 v2 Mathematical Physics
math.MP
Operator Algebras
Spectral Theory
Abstract
In this expository article, we give several examples showing how drastically different can be the behavior of operators acting on finite versus infinite dimensional Hilbert spaces. This essay is written as in such a friendly-reader to show that the situation in the infinite dimensional setting is trickier than the finite one.
Cite
@article{arxiv.2008.03668,
title = {Dichotomy between operators acting on finite and infinite dimensional Hilbert spaces},
author = {L. Bernal-González and M. S. Moslehian and J. B. Seoane-Sepúlveda},
journal= {arXiv preprint arXiv:2008.03668},
year = {2022}
}
Comments
11 pages, some materials are added