Small into-isomorphisms between spaces of continuous functions. II
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- by Yoav Benyamini PDF
- Trans. Amer. Math. Soc. 277 (1983), 825-833 Request permission
Abstract:
We construct two compact Hausdorff spaces, $X$ and $Y$, so that $C(X)$ does not embed isometrically into $C(Y)$, but for each $\varepsilon > 0$, there is an isomorphism ${T_\varepsilon }$ from $C(X)$ into $C(Y)$ satisfying $\parallel f\parallel \leqslant \parallel {T_\varepsilon }f\;\parallel \leqslant (1 + \varepsilon )\parallel f\parallel$ for all $f \in C(X)$.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 277 (1983), 825-833
- MSC: Primary 46E15; Secondary 46B25
- DOI: https://doi.org/10.1090/S0002-9947-1983-0694391-9
- MathSciNet review: 694391