On weakly mixing transformation semigroups
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UC permalink
Publisher's DOI/URI
Thesis discipline
Degree name
Research Report
Publisher
University of Canterbury. Dept. of Mathematics
Journal Title
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Volume Title
Language
Date
1982
Authors
Renaud, Peter Francis
Abstract
A generalization of the classical ergodic mixing theorem is given, valid for arbitrary topological semigroups. Conditions under which the tensor product of two representations has no fixed points are obtained and these yield simple necessary and sufficient conditions for the Cartesian product of two measure preserving transformations to be ergodic.
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Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
Fields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490405 - Group theory and generalisations
Fields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490412 - Topology
Fields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490412 - Topology
Rights
Copyright Peter Francis Renaud