Mathematics Asked on December 10, 2021
Consider the following text from Murphy’s: "$C^*$-algebras and operator theory":
In example 2.3.2, why is $sigma(u) = Bbb{D}$ (= the closed unit disk)?
I can see that $sigma(u) subseteq Bbb{D}$ and $sigma(u^*) = Bbb{D}.$
Thanks in advance!
$$ lambda in sigma(u) iff overline{lambda} in sigma( u^*).$$
Answered by Fred on December 10, 2021
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