LEBESGUE DECOMPOSITION FOR REPRESENTABLE FUNCTIONALS ON *-ALGEBRAS

DOI10.1017/S0017089515000300zbMath1356.46049arXiv1406.6156OpenAlexW2964051817MaRDI QIDQ2806145

Zsigmond Tarcsay

Publication date: 13 May 2016

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6156

zbMATH Keywords

Lebesgue decompositionrepresentable functional\(^\ast\)-algebra

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Noncommutative measure and integration (46L51) Representation theory of linear operators (47A67)

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Quasi-units as orthogonal projections ⋮ Operators on anti-dual pairs: generalized Schur complement ⋮ ON THE ORDER STRUCTURE OF REPRESENTABLE FUNCTIONALS ⋮ Operators on anti-dual pairs: Lebesgue decomposition of positive operators ⋮ Arlinskii's Iteration and its Applications

Cites Work

• Lebesgue-type decomposition of positive operators
• The singularity of positive linear functionals
• Lebesgue type decompositions for nonnegative forms
• On representability of linear functionals on *-algebras
• A Radon-Nikodym theorem for *-algebras
• Extensions of positive operators and functionals
• Lebesgue decomposition of contents via nonnegative forms
• A canonical decomposition for linear operators and linear relations
• A functional analytic proof of the Lebesgue-Darst decomposition theorem
• THE LEBESGUE DECOMPOSITION OF REPRESENTABLE FORMS OVER ALGEBRAS
• On the Lebesgue decomposition of positive linear functionals
• Radon-Nikodym theorem in quasi *-algebras

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