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0answers
119 views

Varying definitions of symmetric and selfadjoint operators [migrated]

There seems to be some disagreement (at least when consulting textbooks), what constitutes a symmetric operator and what constitutes a selfadjoint operator (of course, only the unbounded case is of ...
4
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4answers
1k views

Locally constant functions with compact support = smooth ?

Hello, I have a trivial question, but I hope that you don't mind helping. I often get confused with basic definitions. Let F be a p-adic field. Then (from what I understand) $C_c^{\infty}(F)$ is the ...