Geodesic
Spectral Multiplicities of Infinite Measure Preserving Transformations
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 3, pp. 1-13

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Each set $E\subset\mathbb{N}$ is realized as the set of essential values of the multiplicity function of the Koopman operator for an ergodic conservative infinite measure preserving transformation.
Mots-clés : ergodic transformation
Keywords: $\sigma$-finite measure, spectral multiplicity. 
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     author = {A. I. Danilenko and V. V. Ryzhikov},
     title = {Spectral {Multiplicities} of {Infinite} {Measure} {Preserving} {Transformations}},
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A. I. Danilenko; V. V. Ryzhikov. Spectral Multiplicities of Infinite Measure Preserving Transformations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 3, pp. 1-13. http://geodesic.mathdoc.fr/item/FAA_2010_44_3_a0/