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. }}Prove that any positive operator <math>T\geq0</math> appears as <math display="block"> T=S^2 </math> with <math>S</math> self-adjoint, first in finite dimensions, then in general.")
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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.
Prove that any positive operator [math]T\geq0[/math] appears as
[[math]]
T=S^2
[[/math]]
with [math]S[/math] self-adjoint, first in finite dimensions, then in general.