Revision as of 21:37, 22 April 2025 by Bot (Created page with "<div class="d-none"><math> \newcommand{\mathds}{\mathbb}</math></div> {{Alert-warning|This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion. }}Comment on the spectral radius theorem, stating that for a normal operator, <math>TT^*=T^*T</math>, the spectral radius is equal to the norm, <math display="block"> \rho(T)=||T|| </math> with examples and countere...")
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Apr 22'25
Exercise
[math]
\newcommand{\mathds}{\mathbb}[/math]
This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion.
Comment on the spectral radius theorem, stating that for a normal operator, [math]TT^*=T^*T[/math], the spectral radius is equal to the norm,
[[math]]
\rho(T)=||T||
[[/math]]
with examples and counterexamples, and simpler proofs of well, in various particular cases of interest, such as the finite dimensional one.