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This article is cited in 1 scientific paper (total in 1 paper)
Brief communications
The Local Rank of an Ergodic Symmetric Power $T^{\odot n}$ Does Not Exceed $n!\,n^{-n}$
V. V. Ryzhikov M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The infinity of the rank of ergodic symmetric powers of automorphisms of the Lebesgue space is proved, and
sharp upper bounds for their local rank are found.
Keywords:
ergodic transformation, local rank, symmetric tensor product.
Received: 28.09.2011
Citation:
V. V. Ryzhikov, “The Local Rank of an Ergodic Symmetric Power $T^{\odot n}$ Does Not Exceed $n!\,n^{-n}$”, Funktsional. Anal. i Prilozhen., 47:1 (2013), 92–96; Funct. Anal. Appl., 47:1 (2013), 76–79
Linking options:
https://www.mathnet.ru/eng/faa3104https://doi.org/10.4213/faa3104 https://www.mathnet.ru/eng/faa/v47/i1/p92
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