On the positivity of an invariant measure on open non-empty sets
Antoni Leon Dawidowicz (1989)
Annales Polonici Mathematici
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Antoni Leon Dawidowicz (1989)
Annales Polonici Mathematici
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Antoni Leon Dawidowicz (1992)
Annales Polonici Mathematici
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A method of construction of an invariant measure on a function space is presented.
Mahshid Dashti, Rasoul Nasr-Isfahani, Sima Soltani Renani (2013)
Colloquium Mathematicae
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Let 𝓐 be a Banach algebra and let ℳ be a W*-algebra. For a homomorphism Φ from 𝓐 into ℳ, we introduce and study ℳ -valued invariant Φ-means on the space of bounded linear maps from 𝓐 into ℳ. We establish several characterizations of existence of an ℳ -valued invariant Φ-mean on B(𝓐,ℳ). We also study the relation between existence of an ℳ -valued invariant Φ-mean on B(𝓐,ℳ) and amenability of 𝓐. Finally, for a character ϕ of 𝓐, we give some descriptions for ϕ-amenability of 𝓐 in...
Antal Járai
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CONTENTS§1. Introduction...............................................................5§2. Covariant extension of measures..............................6§3. An invariant extension of Haar measure..................15§4. Covariant extension of Lebesgue measure.............22References....................................................................26
P. E. Zhidkov (1995)
Annales de l'I.H.P. Physique théorique
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Tomasz Nowicki, Sebastian Van Strien (1990)
Annales de l'I.H.P. Physique théorique
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Antoni Leon Dawidowicz (1992)
Annales Polonici Mathematici
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A generalization of the Avez method of construction of an invariant measure is presented.
Antoni Leon Dawidowicz (1983)
Annales Polonici Mathematici
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Krzysztof Leśniak (2012)
Open Mathematics
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Our aim is to point out the applicability of the Knaster-Tarski fixed point principle to the problem of existence of invariant sets in discrete-time (multivalued) semi-dynamical systems, especially iterated function systems.
A. B. Kharazishvili (2010)
Acta Universitatis Carolinae. Mathematica et Physica
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Piotr Zakrzewski (1997)
Colloquium Mathematicae
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Let G be a group of homeomorphisms of a nondiscrete, locally compact, σ-compact topological space X and suppose that a Haar measure on X exists: a regular Borel measure μ, positive on nonempty open sets, finite on compact sets and invariant under the homeomorphisms from G. Under some mild assumptions on G and X we prove that the measure completion of μ is the unique, up to a constant factor, nonzero, σ-finite, G-invariant measure defined on its domain iff μ is ergodic and the G-orbits...
Piotr Zakrzewski (2009)
Fundamenta Mathematicae
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Given a set X, a countable group H acting on it and a σ-finite H-invariant measure m on X, we study conditions which imply that each selector of H-orbits is nonmeasurable with respect to any H-invariant extension of m.