Spectral set
id:
spectral-set-322-5520806
title:
Spectral set
text:
In operator theory, a set X ⊆ C is said to be a spectral set for a linear operator T on a Banach space if the spectrum of T is in X and von-Neumann's inequality holds for T on X - i.e. for all rational functions r with no poles on X This concept is related to the topic of analytic functional calculus
of operators. In general, one wants to get more details about the operators constructed from functions with the original operator as the variable. For a detailed discussion of spectral sets and von
brand slug:
wiki
category slug:
encyclopedia
description:
Set on Banach space
original url:
https://en.wikipedia.org/wiki/Spectral_set
date created:
date modified:
2023-04-09T14:48:14Z
main entity:
{"identifier":"Q7575206","url":"https://www.wikidata.org/entity/Q7575206"}
image:
fields total:
13
integrity:
14