Smooth functions and partitions of unity on certain Banach spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153005We 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 $\C_0[0,Ω)$ with $Ω$ an ordinal.Functional Analysis46BSmooth functions and partitions of unity on certain Banach spacestext