Functional Analysis and Its Applications

, Volume 44, Issue 3, pp 161–170 | Cite as

Spectral multiplicities of infinite measure preserving transformations

  • A. I. Danilenko
  • V. V. Ryzhikov


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.

Key words

ergodic transformation σ-finite measure spectral multiplicity 


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© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.Institute for Low Temperature Physics and EngineeringNational Academy of Sciences of UkraineKievUkraine
  2. 2.Lomonosov Moscow State UniversityMoscowRussia

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