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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
18
votes
Dual space of $\ell^\infty$
The fact stated above by Martin is a special case of the general property of a bounded functional on a von Neumann algebra - it can be always decomposed into a sum of a normal functional (in other wor …
6
votes
Infinitesimal generators of stochastic processes
Here are a few comments: the answer to the question as stated is indeed rather in the domain of the general one-parameter semigroup theory, and the characterisation of the generators you are asking ab …