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. }}Develop a theory of <math>*</math>-algebras <math>A</math> for which the quantity <math display="block"> ||a||=\sqrt{\sup\left\{\lambda\in\mathbb C\Big|aa^*-\lambda\notin A^{-1}\right\}} </math> defines a norm, fo...")
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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.
Develop a theory of [math]*[/math]-algebras [math]A[/math] for which the quantity
[[math]]
||a||=\sqrt{\sup\left\{\lambda\in\mathbb C\Big|aa^*-\lambda\notin A^{-1}\right\}}
[[/math]]
defines a norm, for the elements [math]a\in A[/math].