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Transactions of the American Mathematical Society
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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1986-0816324-7
PII: S 0002-9947(1986)0816324-7
Article copyright: © Copyright 1986 American Mathematical Society