Smooth functions and partitions of unity on certain Banach spaces
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🧮 math.FA
keywords
spacesbanachomegapartitionsunitycertainclasscompact
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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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