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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Subspaces of $ L\sp{1}$, via random measures


Author: David J. Aldous
Journal: Trans. Amer. Math. Soc. 267 (1981), 445-463
MSC: Primary 46B25; Secondary 60G57
DOI: https://doi.org/10.1090/S0002-9947-1981-0626483-2
MathSciNet review: 626483
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Abstract: It is shown that every subspace of $ {L^1}$ contains a subspace isomorphic to some $ {l_q}$. The proof depends on a fixed point theorem for random measures.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1981-0626483-2
Keywords: Banach space, $ {L^p}$ space, random measure, exchangeable sequences, symmetric stable laws, fixed point theorem
Article copyright: © Copyright 1981 American Mathematical Society