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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
5
votes
3
answers
625
views
What is the group of automorphisms of $l^{\infty}$?
What is the group of automorphisms of $l^{\infty}$?
I think it would be the permutations of the integers. Is this right?
2
votes
1
answer
160
views
How do we know the map is $w^{*}$-continuous?
I am reading a paper by David Blecher, which contains the following:
" If $T: Y \to Z$ is a surjective isometric module map between $W^{*}$-modules over $M$, then $T$ is unitary. Also, $T$ is a $w^{* …
5
votes
1
answer
248
views
$C^{*}$-correspondences viewed as generalized endomorphisms
I've heard that $C^{*}$-correspondences (over a $C^{*}$-algebra) can be viewed as generalized endomorphisms of the algebra. I would like to understand this, and be pointed towards books or papers wher …