# Bounded sets in Frechet spaces

How can I show that, if a Frechet room is not normable after that, there is no countable base of bounded collections.

A collection $\Gamma$ of parts of X is called a base for bounded collections, if for any kind of bounded set C there is a $B_{0}$ such that C is had in $B_{0}$

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user29253 2022-07-25 20:42:38

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