$C(\alpha )$ preserving operators on $C(K)$ spaces
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- by John Wolfe PDF
- Trans. Amer. Math. Soc. 273 (1982), 705-719 Request permission
Abstract:
Let $A:C(K) \to X$ be a bounded linear operator where $K$ is a compact Hausdorff space and $X$ is a separable Banach space. Sufficient conditions are given for $A$ to be an isomorphism (into) when restricted to a subspace $Y$ of $C(K)$, such that $Y$ is isometrically isomorphic to a space $C(\alpha )$ of continuous functions on the space of ordinal numbers less than or equal to the countable ordinal $\alpha$.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 273 (1982), 705-719
- MSC: Primary 46E15; Secondary 46B25
- DOI: https://doi.org/10.1090/S0002-9947-1982-0667169-9
- MathSciNet review: 667169