Linear extensions and linear liftings in subspaces of 𝐶(𝑋)

Briem, Eggert

doi:10.1090/S0002-9939-1976-0458149-X

Linear extensions and linear liftings in subspaces of $C(X)$
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Proc. Amer. Math. Soc. 58 (1976), 85-93 Request permission

Abstract:

If $X$ is a compact Hausdorff space, if $B$ is a closed subspace of $C(X)$ and if $F$ is a closed subset of $X$, conditions are given which ensure the existence of a linear extension operator of norm 1 from the restriction space $B{|_F}$ to $B$.

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