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Results tagged with fa.functional-analysis
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user 94631
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
0
votes
Invertibility of an operator of the form $I-B$
I'm not sure if my unswer would be useful, but I have the following thing in mind.
If B - is self-adjoint (symmetric) then it has a countable number of eigenvectors $e_j$ with eigenvalues which for …
- 537
8
votes
When is a Banach space a Hilbert space?
From the point of view of manifolds and curvature the following result is valid:
A Banach space is a Hilbert space if and only if it is a NPC (non-positive curvature) space.
http://www.iam.uni-bonn. …
- 537
4
votes
0
answers
264
views
Concentration of infinite-dimensional Gaussian measure
I have the question about finding the subspace of concentration of a Gaussian Measure. More precisely:
$\textbf{Question:}$ Assume we have a separable Hilbert space $\ell_2$ with Borel $\sigma$-algeb …
- 537
10
votes
1
answer
2k
views
Quantum functional analysis
Can one explain some philosophy behind "quantum functional analysis" (or "quantized functional analysis") which was initiated and developed by such researchers as: Ruan Z.-J., Pisier J., Effros E.G., …
- 537
0
votes
L1 distance between gaussian measures
What you wrote is also a total variation distance between two Gaussian measures and $\sigma$ is calculated indeed via norm of Cameron-Martin space.
I'm not sure what to do for example in the diagona …
- 537