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Apr 13, 2017 at 12:19 history edited CommunityBot
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Jun 11, 2015 at 15:56 comment added Simon Henry In a unital $C^*$-algebra, It induces a bijection betweend self-adjoint element and positive inversible self adjoint element: its inverse is the logarithm. ANd because these two functions are holomorphic one should even be able to say something similar for Banach algebra.
Oct 27, 2014 at 21:52 review Close votes
Oct 28, 2014 at 16:01
Oct 27, 2014 at 20:36 comment added Christian Remling Yes, because $x=\lim_{n\to\infty} n(e^{x/n}-1)$ and $e^{x/n}$ is the unique positive $n$th root of $e^x$.
Oct 27, 2014 at 20:08 history asked Sergei Akbarov CC BY-SA 3.0