Some combinatorial problems on the measurability of functions with respect to invariant extensions of the Lebesgue measure
A. B. Kharazishvili (2010)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
Displaying similar documents to “Some properties od step-punctions connected with extensions of measures”
Some combinatorial problems on the measurability of functions with respect to invariant extensions of the Lebesgue measure
Extensions of invariant measures on Euclidean spaces
Krzysztof Ciesielski, Andrzej Pelc (1985)
Fundamenta Mathematicae
Similarity:
Some remarks on density points and the uniqueness property for invariant extensions of the Lebesgue measure
A. B. Kharazishvili (1994)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
On the average of inner and outer measures
D. Fremlin (1991)
Fundamenta Mathematicae
Similarity:
The uniqueness of Haar measure and set theory
Piotr Zakrzewski (1997)
Colloquium Mathematicae
Similarity:
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...
On the extension of measures.
Baltasar Rodríguez-Salinas (2001)
RACSAM
Similarity:
We give necessary and sufficient conditions for a totally ordered by extension family (Ω, Σ, μ) of spaces of probability to have a measure μ which is an extension of all the measures μ. As an application we study when a probability measure on Ω has an extension defined on all the subsets of Ω.
On the uniqueness of Lebesgue and Borel measures.
Kharazishvili, A.B. (1997)
Journal of Applied Analysis
Similarity:
On the generalized Avez method
Antoni Leon Dawidowicz (1992)
Annales Polonici Mathematici
Similarity:
A generalization of the Avez method of construction of an invariant measure is presented.
On the uniform limit of quasi-continuous functions.
Baltasar Rodríguez-Salinas (2001)
RACSAM
Similarity:
Estudiamos cuando el límite uniforme de una red de funciones cuasi-continuas con valores en un espacio localmente convexo X es también una función cuasi-continua, resaltando que esta propiedad depende del menor cardinal de un sistema fundamental de entornos de O en X, y estableciendo condiciones necesarias y suficientes. El principal resultado de este trabajo es el Teorema 15, en el que los resultados de [7] y [10] son mejorados, en relación al Teorema de L. Schwartz.