Let $X$ be a Banach space.
If $B\subset X$* is a norm-separable
How can we prove that:
The topology on bounded sets in $X$** of pointwise convergence on $B$ is metrizable.
$X$*$=B(X,\mathbb{R})$ : dual space
Any hints would be appreciated.
2026-04-22 23:10:44.1776899444
The topology on bounded sets in $X$** of pointwise convergence on $B$ is metrizable
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See theorem 33 in this notes and apply it to $X^*$.