A characterization of absolutely continuous measures
Larsen, R. (1967)
Portugaliae mathematica
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Larsen, R. (1967)
Portugaliae mathematica
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S. Hartman (1987)
Colloquium Mathematicae
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Wilfried Seidel (1989)
Fundamenta Mathematicae
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S. Hartman (1989)
Colloquium Mathematicae
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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.
J. Fernández Novoa (1990)
Collectanea Mathematica
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We extend some known sigma-finiteness and regularity results for (locally finite) Radon measures to locally sigma-finite or locally moderated Radon measures of type (H), and we obtain other new ones. The main result states that the regularity and the sigma-finiteness are equivalent for alllocally moderated, diffused, Radon measures of type (H) in a T1 topological space which is either weakly metacompact or paralindelöf (resp. metalindelöf) and has a concassage of Lindelöf (resp. separable)...
Fernández Novoa, J. (2001)
Rendiconti del Seminario Matematico
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Thiruvaiyaru V. Panchapagesan (1992)
Czechoslovak Mathematical Journal
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Tetsuhiro Shimizu (1977)
Studia Mathematica
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M. Nadkami (1973)
Studia Mathematica
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