A characterization of the invertible measures

• Autorzy: A. Ülger
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47B48: Operators on Banach algebras
• 46J10: Banach algebras of continuous functions, function algebras
• 43A10: Measure algebras on groups, semigroups, etc.
• 43A22: Homomorphisms and multipliers of function spaces on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 182
• Numer: 3
• Strony: 197-203

Daty

wydano

2007

Twórcy

autor

A. Ülger

• Department of Mathematics, Koc University, Fener Yolu, 34450, Sariyer-Istanbul, Turkey

Identyfikatory

DOI

10.4064/sm182-3-1