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Duals of Banach spaces which admit nontrivial smooth functions

Published online by Cambridge University Press:  17 April 2009

K. John  and
V. Zizler
K. John
Affiliation:
Mathematical Institute, Czechoslovak Academy of Sciences, Praha;
V. Zizler
Affiliation:
Department of Mathematics, Charles University, Praha, Czechoslovakia.
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Abstract

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If a Banach space X admits a continuously Fréchet differentiable function with bounded nonempty support, then X* admits a projectional resolution of identity and a continuous linear one-to-one map into co(Γ).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 11 , Issue 2 , October 1974 , pp. 161 - 166
Copyright
Copyright © Australian Mathematical Society 1974

References

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