Transactions of the American Mathematical Society

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



On the dichotomy problem for tensor algebras

Author: J. Bourgain
Journal: Trans. Amer. Math. Soc. 293 (1986), 793-798
MSC: Primary 43A25; Secondary 42A16, 43A46
MathSciNet review: 816324
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Abstract: Let $ I$, $ J$ be discrete spaces and $ E \subset I \times J$. Then either $ E$ is a $ V$-Sidon set (in the sense of $ [{\mathbf{2}},\S11]$), or the restriction algebra $ A(E)$ is analytic. The proof is based on probabilistic methods, involving Slépian's lemma.

References [Enhancements On Off] (What's this?)

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Article copyright: © Copyright 1986 American Mathematical Society