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Schrodinger operators, operators on manifolds, general differential operators, numerical studies, integral operators, discrete models, resonances, non-self-adjoint operators, random operators/matrices

8 votes
Accepted

Is the ring of $p$-adic integers extremally disconnected?

Since questions recirculate to the front page forever if left unanswered, I will amalgamate the comments into an answer, which I've made community wiki. Firstly, by the characterization of the Cantor …
5 votes

Book on Hilbert spaces, including non-separable

Halmos's Introduction to Hilbert space and the theory of spectral multiplicity is what you are looking for. Since it's published by Dover, the price is very reasonable.