Genericity of Fréchet smooth spaces

Details Genericity of Fréchet smooth spaces Genericity of Fréchet smooth spaces

2011-09-26

arxiv.org/abs/1109.5726v1

Mathematics

Functional Analysis

34 pages

Scientific paper

If a separable Banach space contains an isometric copy of every separable
reflexive Fr\'echet 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 Fr\'echet smooth dual space. This improves a
result of G. Godefroy and N. J. Kalton.

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