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

 

Characterization of the flip operator


Author: H. A. Seid
Journal: Proc. Amer. Math. Soc. 46 (1974), 253-258
MSC: Primary 47B37
MathSciNet review: 0350493
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Abstract: The flip operator $ F$ on $ {L_p}([0,1])$, defined by $ F(f)(t) = f(1 - t)$, for $ f$ in $ {L_p}([0,1])$ is characterized up to isometric transformation by means of its induced $ \sigma $-isomorphism on the Borel sets of $ [0,1]$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0350493-8
PII: S 0002-9939(1974)0350493-8
Article copyright: © Copyright 1974 American Mathematical Society