Timeline for Is exponential function in a C*-algebra injective on self-adjoint elements?
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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 |