Let $A$ - is some unital $C^*$ algebra, and $P$ is set of all strictly positive elements in $A$. We can define map $\sqrt{?} : P \to A$ which takes positive element and returns its (unique) strictly positive square root. How to evaluate its Frechet derivative?
2026-03-29 06:55:17.1774767317
Frechet derivative of square root on positive elements in some $C^*$-algebra
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