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Functional Analysis and Its Applications

, Volume 47, Issue 1, pp 76–79 | Cite as

The local rank of an ergodic symmetric power T n does not exceed n!n n

  • V. V. Ryzhikov
Article

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.

Key words

ergodic transformation local rank symmetric tensor product 

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References

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia

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