Weakly Almost Periodic Flows

The notion of the enveloping semigroup of a flow is applied to some situations in ergodic theory. In particular, weakly almost periodic functions on groups are studied and Moore's ergodic theorem is proved.

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 1989, Vol.313 (1), p.103-119
Main Authors: Ellis, R., Nerurkar, M.
Format: Article
Language:English
Subjects:
Algebra
Ergodic theory
Exact sciences and technology
Geometry, differential geometry, and topology
Mathematical methods in physics
Mathematical theorems
Mathematical vectors
Periodicity
Physics
Semigroups
Topological compactness
Topological theorems
Topology
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Description
Summary:The notion of the enveloping semigroup of a flow is applied to some situations in ergodic theory. In particular, weakly almost periodic functions on groups are studied and Moore's ergodic theorem is proved.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-1989-0930084-3