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Results tagged with banach-spaces
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user 12978
A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
4
votes
2
answers
505
views
Martingale-cotype vs cotype on super-reflexive spaces
I'm have difficultly nailing down the direction of some implications. For $2 \leq q < \infty$, there are (at least) two ways to say that a Banach space $B$ has "cotype $q$".
$B$ has cotype q.
$B$ is …
- 6,287
3
votes
Accepted
Martingale-cotype vs cotype on super-reflexive spaces
I'll attempt to answer this with what I've found:
(1) The answer to my main question is that it is not true. In this document of Pisier's, he states
It is possible to find a uniformly convex s …
- 6,287
8
votes
0
answers
382
views
What is the name for a Banach space property closed under ultraproducts?
In Banach space theory, a super-property is a property of a Banach space that is preserved under ultrapowers. (Update (2015-09-28): The property must also be closed under isometric embeddings.) (Sup …
- 6,287