Order intervals in Banach lattices and their extreme points

DOI10.4064/cm7726-5-2019zbMath1459.46023OpenAlexW3000299906WikidataQ126343421 ScholiaQ126343421MaRDI QIDQ5220127

Zbigniew Lipecki

Publication date: 10 March 2020

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

Full work available at URL: https://doi.org/10.4064/cm7726-5-2019

zbMATH Keywords

extreme pointBanach latticeatomBoolean algebraweakly closedorder intervalorder continuousweak order unitclosedlinear latticeatomicnonatomicLyapunov's convexity theoremlocally solidweakly denseweak\(^\ast\) closedweak\(^\ast\) dense

Mathematics Subject Classification ID

Banach lattices (46B42) Vector-valued set functions, measures and integrals (28B05) Boolean algebras (Boolean rings) (06E99) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (3)

Compactness of order intervals in a locally solid linear lattice ⋮ Cardinality of order intervals in linear lattices and of their sets of extreme points ⋮ Order intervals in $C(K)$. Compactness, coincidence of topologies, metrizability

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