## Abstract

Let T be a positive linear contraction of L1 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

(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

Original language | English |
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Title of host publication | Colloquium Mathematicum |

Pages | 515-520 |

Number of pages | 6 |

Volume | 84/85 Part 2 |

State | Published - 2000 |