A functional analytic proof of the Lebesgue-Darst decomposition theorem

DOI10.14321/REALANALEXCH.39.1.0219zbMath1303.28005OpenAlexW1517571098MaRDI QIDQ2510992

Zsigmond Tarcsay

Publication date: 5 August 2014

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1404230148

zbMATH Keywords

singularityabsolute continuityHilbert space methodsLebesgue-Darst decompositiom

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

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The Singular Part as Fixed Point ⋮ LEBESGUE DECOMPOSITION FOR REPRESENTABLE FUNCTIONALS ON *-ALGEBRAS ⋮ A short-type decomposition of forms

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