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Spectral multiplicities of infinite measure preserving transformations

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Abstract

Each set E ⊂ ℕ is realized as the set of essential values of the multiplicity function of the Koopman operator for an ergodic conservative infinite measure preserving transformation.

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Authors and Affiliations

  1. Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Kiev, Ukraine

    A. I. Danilenko

  2. Lomonosov Moscow State University, Moscow, Russia

    V. V. Ryzhikov

Authors
  1. A. I. Danilenko
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  2. V. V. Ryzhikov
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Correspondence to A. I. Danilenko.

Additional information

Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 44, No. 3, pp. 1–13, 2010

Original Russian Text Copyright © by A. I. Danilenko and V. V. Ryzhikov

The second named author acknowledges the support of the program “Leading Scientific Schools” (grants nos. 3038.2008.1 and 8508.2010.1).

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Danilenko, A.I., Ryzhikov, V.V. Spectral multiplicities of infinite measure preserving transformations. Funct Anal Its Appl 44, 161–170 (2010). https://doi.org/10.1007/s10688-010-0021-2

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  • DOI: https://doi.org/10.1007/s10688-010-0021-2

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