On new spectral multiplicities for ergodic maps

Volume 197 / 2010

Alexandre I. Danilenko Studia Mathematica 197 (2010), 57-68 MSC: 37A05, 37A30. DOI: 10.4064/sm197-1-5


It is shown that each subset of positive integers that contains 2 is realizable as the set of essential values of the multiplicity function for the Koopman operator of some weakly mixing transformation.


  • Alexandre I. DanilenkoInstitute for Low Temperature Physics Engineering
    National Academy of Sciences of Ukraine
    47 Lenin Ave.
    Kharkov, 61164, Ukraine

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