Gelfand–Mazur theorem
id:
gelfand-mazur-theorem-284-7980372
title:
Gelfand–Mazur theorem
text:
In operator theory, the Gelfand–Mazur theorem is a theorem named after Israel Gelfand and Stanisław Mazur which states that a Banach algebra with unit over the complex numbers in which every nonzero element is invertible is isometrically isomorphic to the complex numbers, i. e., the only complex Banach algebra that is a division algebra is the complex numbers C. The theorem follows from the fact that the spectrum of any element of a complex Banach algebra is nonempty: for every element a of a co
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Gelfand%E2%80%93Mazur_theorem
date created:
date modified:
2021-05-10T06:52:25Z
main entity:
{"identifier":"Q2226677","url":"https://www.wikidata.org/entity/Q2226677"}
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fields total:
13
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13