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
@article{paperid:1096610,
author = {لوییس برنال and Sal Moslehian, Mohammad and خوان سئوآته},
title = {Dichotomy between operators acting on finite and infinite dimensional Hilbert spaces},
journal = {Journal of the Iranian Mathematical Society},
year = {2022},
volume = {3},
number = {1},
month = {June},
issn = {2717-1612},
pages = {33--41},
numpages = {8},
keywords = {Hilbert space; matrix; operator; difference between finite and infinite dimension},
}
%0 Journal Article
%T Dichotomy between operators acting on finite and infinite dimensional Hilbert spaces
%A لوییس برنال
%A Sal Moslehian, Mohammad
%A خوان سئوآته
%J Journal of the Iranian Mathematical Society
%@ 2717-1612
%D 2022
