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Results tagged with fa.functional-analysis
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user 64444
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
3
votes
1
answer
130
views
C*-algebras: Existence of an element inducing an injective map
I'm wondering if the following statement is true: Let $A$ be a $C^*$-algebra and $\phi: A\rightarrow A$ be a $*$-homomorphism. Is there always an element $a\in A$ such that the map
$\left\{ \phi^{n}: …
- 741
2
votes
2
answers
392
views
Norm of two operators on $l^2(\mathbb{Z}_{2}*\mathbb{Z}_{2})$ different
In my research I encounered the following (very concrete) question: Consider the (discrete) group $G:=\mathbb{Z}_{2}*\mathbb{Z}_{2}$. Let $s\text{, }t\in G$ be the generating elements and define for $ …
- 741