Journal of the Iranian Mathematical Society, Volume (3), No (1), Year (2022-6) , Pages (33-41)

Title : ( Dichotomy between operators acting on finite and infinite dimensional Hilbert spaces )

Authors: Luis Bernal Gonzalez , Mohammad Sal Moslehian , J. B. Seoane Sepulveda ,
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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.

Keywords

Hilbert space; matrix; operator; difference between finite and infinite dimension