Compactness of order intervals in a locally solid linear lattice

DOI10.4064/cm8624-11-2021zbMath1497.46005OpenAlexW4205913891MaRDI QIDQ5074204

Zbigniew Lipecki

Publication date: 9 May 2022

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

Full work available at URL: https://doi.org/10.4064/cm8624-11-2021

zbMATH Keywords

Banach latticeatomBoolean algebraorder intervalorder completecomponentweakly compactlinear latticeatomicnonatomiclocally solid\(FN\)-topologyBanach lattice \(C(K)\)locally convex-solidorder continuous topology

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30) Banach lattices (46B42) Boolean algebras (Boolean rings) (06E99) Lattices of continuous, differentiable or analytic functions (46E05) Ordered topological linear spaces, vector lattices (46A40)

Related Items (2)

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

Cites Work

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• Order intervals in Banach lattices and their extreme points
• Order intervals in $C(K)$. Compactness, coincidence of topologies, metrizability

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