On the Lebesgue decomposition of positive linear functionals

DOI10.1090/S0002-9939-2012-11354-1zbMath1275.46038OpenAlexW2100736512MaRDI QIDQ4908276

Zsolt Szűcs

Publication date: 5 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11354-1

zbMATH Keywords

singularityLebesgue type decompositionpositive functionalsnonnegative forms

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Noncommutative measure and integration (46L51) States of selfadjoint operator algebras (46L30) General theory of topological algebras with involution (46K05) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (3)

On means of nonnegative sesquilinear forms ⋮ ON THE ORDER STRUCTURE OF REPRESENTABLE FUNCTIONALS ⋮ LEBESGUE DECOMPOSITION FOR REPRESENTABLE FUNCTIONALS ON *-ALGEBRAS

Cites Work

• Lebesgue type decompositions for nonnegative forms
• On representability of linear functionals on *-algebras
• A Radon-Nikodym theorem for *-algebras
• Derivations of simple \(C^ *\)-algebras. III
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