Smooth norms on certain 𝐶(𝐾) spaces

Smooth norms on certain $C(K)$ spaces
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Proc. Amer. Math. Soc. 131 (2003), 2049-2051 Request permission

$C(K)$ spaces admit an equivalent $C^\infty$-smooth renorming whenever $K^{(\omega _1)}=\emptyset$.

References

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