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Results tagged with fa.functional-analysis
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user 9093
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
5
votes
2
answers
330
views
General additive function of probability
Let $H$ be a function of finite sequences of probabilities (non-negative numbers summing up to 1) into real numbers, such that:
$H$ is continuous,
$H$ is symmetric w.r.t. the order of its arguments, …
- 1,612
2
votes
4
answers
1k
views
Nth root of a matrix as an analytic function?
Let $A$ be a $k \times k$ invertible matrix over complex numbers.
If it possible to write its nth root as an analytic function (i.e. power series in $A$)?
EDIT: Complex coefficients can be functions …
- 1,612
2
votes
An analogue of Hilbert-Schmidt theorem for multilinear forms
There is a thing called Majorana representation of the symmetric states, somehow related to your question.
For $\dim H = 2$ and $\psi$ living in a symmetric subspace of $H^{\otimes n}$, we have
$$\p …
- 1,612
1
vote
about decomposition of a non-negative definite operators
In general the problem is hard and it is widely known in quantum physics as the question if a mixed quantum states is separable or not. The physical formulations is slightly different, as for the deco …
- 1,612