A potential-theoretic approach to parallel addition

DOI10.1007/BF01457076zbMath0571.31005OpenAlexW1986689019MaRDI QIDQ1061898

Sirkka-Liisa Eriksson, Heinz Leutwiler

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164101

zbMATH Keywords

Hilbert spaceextreme pointsparallel sumalgebraic potential theoryconvex set of positive operatorspositive Hermitian operators

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Convex sets in topological linear spaces; Choquet theory (46A55) Generalizations of potential theory (31C99)

Related Items

On the mappings connected with parallel addition of nonnegative operators, Complement of forms, The extreme points of a set of positive semidefinite operators, Shorted operators: An application in potential theory, Erratum to: ``Complement of forms, A Radon-Nikodym type theorem for forms, The Singular Part as Fixed Point, Convexity of the inverse and Moore-Penrose inverse, Quasi-units as orthogonal projections, Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula, ON THE ORDER STRUCTURE OF REPRESENTABLE FUNCTIONALS, Arlinskii's Iteration and its Applications, Faces of sets of operators with the numerical range in a prescribed polyhedron, Lebesgue type decompositions for nonnegative forms

Cites Work

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