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Results tagged with fa.functional-analysis
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user 21936
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
2
votes
1
answer
347
views
Atomic enveloping von Neumann algebra
Let $A$ be a $C^*$-algebra. If the second dual of $A$, which is the enveloping von Neumann algebra of $A$, is atomic, can we deduce that $A$ is an ideal in its second dual ?
- 195
7
votes
1
answer
1k
views
weak*-closed subspaces
Recall that a closed subspace $Y$ of a Banach space $X$ is weakly complemented if the set
$$Y^{\bot}:= \{ f\in X^*| f(y) = 0 \forall y\in Y\}$$
is a complemented subspace of $ X^*$. For example, $c_0$ …
- 195
10
votes
0
answers
503
views
Lacunary hyperbolic groups and weak amenability
In the paper called Lacunary Hyperbolic group, Y. Ol'shanskii, D. Osin and M. Sapir define and characterize the lacunary hyperbolic groups, which contains the hyperbolic groups but also Tarski's monst …
- 195