Transformations that do not accept a finite invariant measure

DOI10.1090/S0002-9904-1978-14482-6zbMath0398.28019OpenAlexW2116522561MaRDI QIDQ4182965

Yuji Ito, Arshag Hajian

Publication date: 1978

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1978-14482-6

zbMATH Keywords

Invariant MeasureMeasure Preserving TransformationMeasurable TransformationWeakly Wandering Sequence

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Measures on Boolean rings, measure algebras (28A60) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (3)

Equivalent \(\sigma\)-finite invariant measures ⋮ Sequences of integers and ergodic transformations ⋮ Dissipative sequences in infinite ergodic theory.

Cites Work

• Unnamed Item
• Orbits, sections, and induced transformations
• Full groups and a theorem of Dye
• On transformations without finite invariant measure
• Strongly recurrent transformations
• Invariant measures and orbits of dissipative transformations
• Theory of Measure and Invariant Integrals
• Iterates of Measurable Transformations and Markov Operators
• On Ergodic Measure-Preserving Transformations Defined on an Infinite Measure Space
• Weakly wandering and related sequences
• On mixing in infinite measure spaces
• ON ZERO TYPE AND POSITIVE TYPE TRANSFORMATIONS WITH INFINITE INVARIANT MEASURES
• Weakly Wandering Sets and Invariant Measures

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