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


Quotients of $ c\sb{0}$ are almost isometric to subspaces of $ c\sb{0}$

Author: Dale E. Alspach
Journal: Proc. Amer. Math. Soc. 76 (1979), 285-288
MSC: Primary 46B25; Secondary 46A45
MathSciNet review: 537089
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Abstract: It is shown that for every $ \varepsilon > 0$ and quotient space X of $ {c_0}$ there is a subspace Y of $ {c_0}$ such that the Banach-Mazur distance $ d(X,Y)$ is less than $ 1 + \varepsilon $. This improves a result of Johnson and Zippin.

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PII: S 0002-9939(1979)0537089-4
Keywords: Quotient space, almost isometric
Article copyright: © Copyright 1979 American Mathematical Society