Support overlapping L1 contractions and exact non-singular transformations
Lin, Michael
Colloquium Mathematicae, Tome 84/85 (2000), p. 515-520 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:210830 
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     title = {Support overlapping $L\_{1}$ contractions and exact non-singular transformations},
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     volume = {84/85},
     year = {2000},
     pages = {515-520},
     zbl = {1024.28013},
     language = {en},
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Lin, Michael. Support overlapping $L_{1}$ contractions and exact non-singular transformations. Colloquium Mathematicae, Tome 84/85 (2000) pp. 515-520. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv84i2p515bwm/

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