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edited Apr 26, 2018 at 9:20

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Is the strong operator topology metrizable?

Let $X$ be a separable Banach space. Is the strong operator topology metrizable on $B(X)$, the space of all bounded operators on $X$?

SOT-$\lim T_i=0~$ if and only if $~\lim \|T_ix\|=0$ for every $x\in X$.

fa.functional-analysis oa.operator-algebras banach-spaces locally-convex-spaces

asked Apr 26, 2018 at 9:03

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