A. I. Danilenko, V. V. Ryzhikov, “Spectral Multiplicities of Infinite Measure Preserving Transformations”, Funktsional. Anal. i Prilozhen., 2010, Volume 44, Issue 3,Pages <nobr>1

This article is cited in 7 papers

Spectral Multiplicities of Infinite Measure Preserving Transformations

A. I. Danilenko^a, V. V. Ryzhikov^b

^a Institute for Low Temperature Physics and Engineering, Ukraine Academy of Sciences
^b M. V. Lomonosov Moscow State University

Abstract: 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.

Keywords: ergodic transformation, $\sigma$-finite measure, spectral multiplicity.

UDC: 517.987

Received: 25.05.2009

DOI: 10.4213/faa3003