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Results tagged with fa.functional-analysis
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user 147609
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
5
votes
1
answer
195
views
Is the unit ball of $B(H)$ a Baire space (with the SOT)?
Let $H$ be a Hilbert space, and let $B(H)$ be the set of bounded linear operators $t \colon H \to H$. Recall that we say $t_i \to t$ in the strong operator topology if $t_i \xi \to t \xi$ for every $\ …
- 733
1
vote
1
answer
470
views
When do completely positive maps have a closed image?
Let $\mathcal{A}, \mathcal{B}$ be C*-algebras. A map $\phi \colon \mathcal{A} \rightarrow \mathcal{B}$ is completely positive (cp) if it's linear, * preserving and all of its' coordinatewise extension …
- 733