Conical measures and vector measures

Igor Kluvánek

Displaying similar documents to “Conical measures and vector measures”

On the role of an intersection property in measure theory - I

Schaerf, H.M. (1949)

Portugaliae mathematica

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On two notions of independent functions

B. Jessen (1948)

Colloquium Mathematicae

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Differentiation of measures.

Ricardo Faro Rivas, Juan A. Navarro, Juan Sancho (1994)

Extracta Mathematicae

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On compact measures

Edward Marczewski (1953)

Fundamenta Mathematicae

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Limits of inverse systems of measures

J. D. Mallory, Maurice Sion (1971)

Annales de l'institut Fourier

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In this paper the problem of the existence of an inverse (or projective) limit measure $μ^{'}$ of an inverse system of measure spaces $(X_{i}, μ_{i})$ is approached by obtaining first a measure $\tilde{μ}$ on the whole product space $\prod_{i \in I} X_{i}$ . The measure $\tilde{μ}$ will have many of the properties of a limit measure provided only that the measures $μ_{i}$ possess mild regularity properties. It is shown that $μ^{'}$ can only exist when $\tilde{μ}$ is itself a “limit” measure in a more general sense, and that $μ^{'}$ must then be the restriction...

A characterization of the invertible measures

A. Ülger (2007)

Studia Mathematica

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Let G be a locally compact abelian group and M(G) its measure algebra. Two measures μ and λ are said to be equivalent if there exists an invertible measure ϖ such that ϖ*μ = λ. The main result of this note is the following: A measure μ is invertible iff |μ̂| ≥ ε on Ĝ for some ε > 0 and μ is equivalent to a measure λ of the form λ = a + θ, where a ∈ L¹(G) and θ ∈ M(G) is an idempotent measure.

Fubini theorems for bornological measures

Maria E. Ballvé, Pedro Jiménez Guerra (1993)

Mathematica Slovaca

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