Some representation theorems for Banach lattices

DOI10.1007/BF02385993zbMath0407.46021MaRDI QIDQ1258067

Sten Kaijser

Publication date: 1978

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Dual SpaceBanach LatticeCyclic C(X)-ModuleLebesgue-Measurable FunctionsQuasi-Interior ElementsRepresentation TheoremsWeak Order Unit

Mathematics Subject Classification ID

Banach lattices (46B42) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Ordered topological linear spaces, vector lattices (46A40)

Related Items

On Banach modules I ⋮ Weak sequential completeness in Banach \(C(K)\)-modules of finite multiplicity ⋮ Gelfand-type theorems for dynamical Banach modules ⋮ On tensor products of Banach lattices ⋮ The dual Radon-Nikodym property for finitely generated Banach \(C(K)\)-modules ⋮ Multiplication operators on vector-valued function spaces

Cites Work

• Local operators on Banach lattices
• On the Borel structure of \(C^ *\)-algebras
• Ideal center of a \(C^*\)-algebra
• The ideal center of partially ordered vector spaces
• Eindeutigkeit des Darstellungsraumes von Vektorverbänden
• Unnamed Item