There are no denting points in the unit ball of 𝑊𝐶(𝐾,𝑋)

Rao, T.

doi:10.1090/S0002-9939-99-04941-2

There are no denting points in the unit ball of $WC(K,X)$
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by T. S. S. R. K. Rao PDF

Proc. Amer. Math. Soc. 127 (1999), 2969-2973 Request permission

Abstract:

For an infinite compact set $K$ and for any Banach space $X$ we show that the unit ball of the space of $X$-valued functions that are continuous when $X$ is equipped with the weak topology, has no denting points.

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