Extensions of positive operators and extreme points. I

DOI10.4064/cm-42-1-279-284zbMath0432.47018OpenAlexW1551050358MaRDI QIDQ3869860

Zbigniew Lipecki, Detlef Plachky, Wolfgang Thomsen

Publication date: 1979

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-42-1-279-284

zbMATH Keywords

extreme extensionpositive operatorbandlattice homomorphismordered vector spaceorder complete vector latticedomain of uniquenessquasi-content

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Set functions, measures and integrals with values in ordered spaces (28B15)

Related Items (15)

On compactness and extreme points of some sets of quasi-measures and measures ⋮ Extension of Vector-Lattice Homomorphisms ⋮ Extremal extension of a finitely additive measure ⋮ Jordan fields and improper integrals ⋮ Invariant extensions of positive operators and extreme points ⋮ On Monogenic Operators and Measures ⋮ On extreme extensions of quasi-measures ⋮ Sums and extensions of vector lattice homomorphisms ⋮ Nash equilibrium and generalized integration for infinite normal form games ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ Extensions of orthosymmetric lattice bimorphisms ⋮ Countable extension of measures and \(\sigma\)-integrals with values in vector lattices ⋮ On unique extensions of positive additive set functions ⋮ Local convex analysis ⋮ On an extension of finitely additive vector measures

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