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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A bound-two isomorphism between $ C(X)$ Banach spaces


Author: H. B. Cohen
Journal: Proc. Amer. Math. Soc. 50 (1975), 215-217
MSC: Primary 46E15
MathSciNet review: 0380379
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Abstract: Nonhomeomorphic compact Hausdorff spaces $ X$ and $ Y$ and an isomorphism $ \phi :C(X) \to C(Y)$ (onto) are constructed such that $ \vert\vert\phi \vert\vert\;\vert\vert{\phi ^{ - 1}}\vert\vert = 2$. Amir had asked if such a $ \phi $ exists with $ \vert\vert\phi \vert\vert\;\vert\vert{\phi ^{ - 1}}\vert\vert < 3$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0380379-5
PII: S 0002-9939(1975)0380379-5
Article copyright: © Copyright 1975 American Mathematical Society