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A Graduate student of mathematics.
Some of my questions, I am still searching for better answers....
Favorite ) A sort of converse of Banach-Steinhaus theorem.
Can we define any metric on $\Bbb{R^\omega}$ so that it represents a norm?
Does there exists any non trivial linear metric space in which every open ball is not convex?
Why not we avoid the phrase "if we assume AC " and take it as granted?
What are the minimum conditions for an open ball in $(X, d) $, $X$ is a linear space to be convex?
Can you give me an example of a non compact topological space with compact dense subset?
Is there any condition that makes a measure zero set countable?
${\scr{B}}(A, Y) \cong {\scr{B} }(X, Y) $ (isometically Isomorphic)
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