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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

3 votes
3 answers
740 views

Radon-Nikodym property for space of signed measures

Given a measurable space, the vector space of signed measures is a Banach space. Does it have the Radon-Nikodym property? What if the space is of a special type, such as a nice topological space with …
8 votes
0 answers
249 views

Smoothness of solution map for PDE

I am wondering what sort of results are available for the following sort of problem, or where to look in the literature for work dealing with such problems, especially in the degenerate elliptic conte …