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Each weakly countably determined Asplund space admits a Fréchet differentiable norm

Published online by Cambridge University Press:  17 April 2009

M. Fabian
M. Fabian
Affiliation:
Sibeliova 49, 162 00 Prague 6, Czechoslovakia
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If au Asplund space is weakly countably determined, then it admits an equivalent Fréchet differentiable norm and is weakly compactly generated. If on an Asplund space there exists an equivalent Gâteaux differentiable norm, then its dual has a projectional resolution of identity.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 3 , December 1987 , pp. 367 - 374
Copyright
Copyright © Australian Mathematical Society 1987

References

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