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arXiv:math/9509216 [math.FA]AbstractReferencesReviewsResources

Smooth functions and partitions of unity on certain Banach spaces

Richard Haydon

Published 1995-09-27Version 1

We construct infinitely differentiable norms and partitions of unity for a class of Banach spaces which includes all spaces $\C(K)$ with $K$ a countable compact space, and all spaces $\C_0[0,\Omega )$ with $\Omega $ an ordinal.

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