The singularity of positive linear functionals

DOI10.1007/s10474-012-0206-7zbMath1299.46073OpenAlexW2042817565MaRDI QIDQ452812

Zsolt Szűcs

Publication date: 17 September 2012

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-012-0206-7

zbMATH Keywords

representationsingularitybarycenterChoquet theorypositive functionalparallel sumLebesgue-type decompositionformprobability Radon measurepure state

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Noncommutative measure and integration (46L51) Representation theory of linear operators (47A67) States of selfadjoint operator algebras (46L30) Integration and disintegration of measures (28A50) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (5)

On the parallel sum of positive operators, forms, and functionals ⋮ A Radon-Nikodym type theorem for forms ⋮ Operators on anti-dual pairs: Lebesgue decomposition of positive operators ⋮ LEBESGUE DECOMPOSITION FOR REPRESENTABLE FUNCTIONALS ON *-ALGEBRAS ⋮ Absolute continuity of positive linear functionals

Cites Work

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• Lebesgue type decompositions for nonnegative forms
• On representability of linear functionals on *-algebras
• A Radon-Nikodym theorem for *-algebras
• THE STABILITY OF QUANTUM MARKOV FILTERS
• Lebesgue Decomposition of States on a Von Neumann Algebra
• A Lebesgue Decomposition Theorem for C^* Algebras
• Theory of operator algebras I.

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