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Duals of Banach spaces which admit nontrivial smooth functions
Published online by Cambridge University Press: 17 April 2009
Abstract
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
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