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Results tagged with fa.functional-analysis
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user 161092
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
3
votes
0
answers
202
views
Dominated convergence theorem for Banach limits
The notion of a Banach limit is usually defined for the space of bounded sequences, but one can define it for more general spaces (see "What is a generalized limit?" and "Do multiplicative Banach limi …
- 151
1
vote
2
answers
581
views
Action of Bochner integral of operator-valued functions on vectors
Consider a separable Hilbert space $\mathcal H$ and the bounded linear operators $B(\mathcal H)$.
Consider a function $T: [0, \infty) \to B(\mathcal H)$, under what assumptions on $T(t)$ is it true th …
- 151