ON THE ORDER STRUCTURE OF REPRESENTABLE FUNCTIONALS

DOI10.1017/S0017089517000106zbMath1396.46050arXiv1608.03733OpenAlexW2962950773MaRDI QIDQ4636384

Zsigmond Tarcsay, Tamás Titkos

Publication date: 19 April 2018

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

Full work available at URL: https://arxiv.org/abs/1608.03733

zbMATH Keywords

functionals on \(*\)-algebrasLebesgue decomposition theory

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Noncommutative measure and integration (46L51) Convex sets and cones of operators (47L07)

Related Items (3)

Quasi-units as orthogonal projections ⋮ Operators on anti-dual pairs: generalized Schur complement ⋮ Operators on anti-dual pairs: Lebesgue decomposition of positive operators

Cites Work

• On the parallel sum of positive operators, forms, and functionals
• Lebesgue type decompositions for nonnegative forms
• On representability of linear functionals on *-algebras
• A potential-theoretic approach to parallel addition
• The extreme points of a set of positive semidefinite operators
• A Radon-Nikodym theorem for *-algebras
• Infima of Hilbert space effects
• The extreme points of order intervals of positive operators
• Ando's theorem for nonnegative forms
• \(L^ 1\)-algebras and Segal algebras
• Sur quelques notions fondamentales dans la théorie générale des opérations linéaires
• LEBESGUE DECOMPOSITION FOR REPRESENTABLE FUNCTIONALS ON *-ALGEBRAS
• Lebesgue Decomposition of States on a Von Neumann Algebra
• On the Lebesgue decomposition of positive linear functionals
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