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arXiv · 1109.5726

Genericity of Fréchet smooth spaces

Ondřej Kurka
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Abstract

If a separable Banach space contains an isometric copy of every separable reflexive Fréchet smooth Banach space, then it contains an isometric copy of every separable Banach space. The same conclusion holds if we consider separable Banach spaces with Fréchet smooth dual space. This improves a result of G. Godefroy and N. J. Kalton.

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Ondřej Kurka. 2011-09-26. Genericity of Fréchet smooth spaces. https://doi.org/10.1007/s13398-012-0063-9

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