This article is cited in 7 papers

Approximation of Mixing Transformations

S. V. Tikhonov

Russian State University of Trade and Economics, Moscow

Abstract: The problem of whether a class of mixing transformations is generic can be reduced to approximation problems. It is shown that a generic mixing can be approximated in the lead metric by transformations with a sufficiently wide set of limit operators. The results are used to prove that some of the spectral properties are generic.

Keywords: mixing transformation, limit operator, generecity, spectral property.

UDC: 517

Received: 02.07.2012
Revised: 06.03.2013

DOI: 10.4213/mzm10123

 English version: Mathematical Notes, 2014, 95:2, 255–269

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