The positive cone of a Banach lattice. Coincidence of topologies and metrizability.

DOI10.14712/1213-7243.2024.004MaRDI QIDQ6648089

Zbigniew Lipecki

Publication date: 4 December 2024

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

zbMATH Keywords

weak topologyBanach latticepositive conenonatomic measureweak\(^*\) topologystrong topologymetrizabilityAM-spaceAL-spacenormed latticecoincidence of topologiesBanach lattice \(C(K)\)Banach lattice \(l^1(\Gamma)\)

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Banach lattices (46B42) Lattices of continuous, differentiable or analytic functions (46E05)

Cites Work

• On the approximate fixed point property in abstract spaces
• On compactness and extreme points of some sets of quasi-measures and measures. IV
• Topological properties of Banach spaces
• Order intervals in $C(K)$. Compactness, coincidence of topologies, metrizability
• Measure and integration theory. Transl. from the German by Robert B. Burckel
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