Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with fa.functional-analysis
Search options not deleted
user 26674
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
3
votes
1
answer
387
views
Continuity of lattice operations in Banach lattices
Let $L$ be a Dedekind-complete Banach lattice. Let $\mathcal{B}$ be the family of nonempty norm-compact subsets of $L$ that are bounded from below. Endow $\mathcal{B}$ with the topology induced by th …
- 900
1
vote
Which topology for compactness and continuity?
A slightly more classical answer than Kieth's answer.
The set of non-decreasing (monotone) functions (equivalence classes) $M$ of functions from $[0,1]$ to $[0,1]$ is norm-compact in the Banach spac …
- 900
2
votes
When is a sequentially closed cone, closed?
In ordered vector spaces the question is restated as follows:
When does the Archimidean property imply that the positive cone of an ordered vector space is closed? So that should help in your search. …
- 900
6
votes
Banach lattice subspace of $C([0,1])$ not a sublattice
Aside from examples there is a nice and very useful characterizations due to Mayajima http://hmj2.math.sci.hokudai.ac.jp/359/ of lattice subspaces that need not be sublattices. It is of considerable i …
- 900
3
votes
Accepted
Certain compact subset of $L_1$
The answer is that (1) and (2) implies $\star$ (this resolves a nice problem in a game theory paper I'm working on though the final unresolved problem has to do with decomposable Banach spaces, which …
- 900
8
votes
1
answer
878
views
Certain compact subset of $L_1$
Let $(\Omega,\Sigma, \mu)$ be a probability measure and $X$ a Banach space. I am interested in subsets $F\subseteq L_\infty (\mu,X)$ that satisfy these two compactness conditions:
$F$ is a norm-com …
- 900