On the kernel of a Markov projection on $C(X)$
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- by Robert E. Atalla PDF
- Proc. Amer. Math. Soc. 93 (1985), 685-689 Request permission
Abstract:
Let $X$ be a compact metric space and $L$ a closed linear subspace of $C(X)$, the real valued continuous functions on $X$. We give necessary and sufficient conditions of an algebraic nature for $L$ to be the kernel of a Markov projection $P$ on $C(X)$. We also characterize compact spaces for which our result holds as those for which the Borsuk-Dugundji simultaneous extension theorem holds.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 685-689
- MSC: Primary 47B38; Secondary 47A65, 47B55
- DOI: https://doi.org/10.1090/S0002-9939-1985-0776203-5
- MathSciNet review: 776203