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Orthogonal decomposition of isometries in a Banach space


Authors: G. D. Faulkner and J. E. Huneycutt
Journal: Proc. Amer. Math. Soc. 69 (1978), 125-128
MSC: Primary 47A65
DOI: https://doi.org/10.1090/S0002-9939-1978-0463954-1
MathSciNet review: 0463954
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Abstract: In this paper the Wold decomposition theorem is proved for a class of isometries in smooth reflexive Banach spaces. The class in particular contains all isometries of $ {L^p}(\mu )$ spaces for arbitrary measures $ \mu $.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0463954-1
Article copyright: © Copyright 1978 American Mathematical Society

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