Into isomorphisms of spaces of continuous functions

Jarosz, Krzysztof

doi:10.1090/S0002-9939-1984-0728351-2

Into isomorphisms of spaces of continuous functions
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by Krzysztof Jarosz PDF

Proc. Amer. Math. Soc. 90 (1984), 373-377 Request permission

Abstract:

If $X$ and $Y$ are locally compact Hausdorff spaces and $T$ is a linear map from an extremely regular subspace of ${C_0}\left ( X \right )$ into ${C_0}\left ( Y \right )$ such that $|| T |||| {{T^{ - 1}}} || < 2$, then $X$ is a continuous image of a subset of $Y$.

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