# Non-completeness of the room of bounded straight drivers

If $X$ and also $Y$ are normed spaces I recognize that the room $B(X,Y)$ of bounded straight features from $X$ to $Y$, is full if $Y$ is full. Exists an instance of a set of normed spaces $X,Y$ s.t. $B(X,Y)$ is not finish?

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Digital Gal 2019-05-07 11:33:11

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Let $X = \mathbb{R}$ with the Euclidean standard and also allow $Y$ be a normed room which is not full. You need to locate that $B(X, Y) \simeq Y$.

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Qiaochu Yuan 2019-05-09 05:33:15

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