arXiv:2008.03668 Abstract | arXiv Analytics

arXiv:2008.03668 [math.FA]Abstract References Reviews Resources

To be a matrix or to be an operator on an infinite dimensional Hilbert space, that is the question

Published 2020-08-09Version 1

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.

Comments: 7 pages, any comments/addition would be appreciated

Categories: math.FA, math-ph, math.MP, math.OA, math.SP

Subjects: 47B02, 15A15

Keywords: infinite dimensional hilbert space, expository article, friendly-reader, infinite dimensional setting

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