Support overlapping $L_{1}$ contractions and exact non-singular transformations

• Autorzy: Michael Lin
• Języki publikacji: EN

Abstrakty

EN

Let T be a positive linear contraction of $L_{1}$ of a σ-finite measure space (X,Σ,μ) which overlaps supports. In general, T need not be completely mixing, but it is in the following cases: (i) T is the Frobenius-Perron operator of a non-singular transformation ϕ (in which case complete mixing is equivalent to exactness of ϕ). (ii) T is a Harris recurrent operator. (iii) T is a convolution operator on a compact group. (iv) T is a convolution operator on a LCA group.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 84/85
• Numer: 2
• Strony: 515-520

Daty

wydano

2000

otrzymano

1999-09-22

Twórcy

autor

Michael Lin

• Ben-Gurion University of the Negev, Beer-Sheva, Israel

Bibliografia

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