Banach lattices with locally compact representation spaces

DOI10.1007/BF01161412zbMath0425.46016OpenAlexW2014395105MaRDI QIDQ1135492

James F. Porter, William A. Feldman

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173010

zbMATH Keywords

Stone-Weierstrass theoremdense idealtopological orthogonal systemBanach lattices with locally compact representation spacesfunction space representationspace of continuous functions with compact support

Mathematics Subject Classification ID

Banach lattices (46B42) Algebraic properties of function spaces in general topology (54C40) Lattices of continuous, differentiable or analytic functions (46E05) Ordered topological linear spaces, vector lattices (46A40)

Related Items

Representations of Archimedean Riesz spaces. - A survey ⋮ Compact Weighted Composition Operators on Banach Lattices ⋮ A characterization of positively decomposable non-linear maps between Banach lattices ⋮ Representations of Riesz spaces as spaces of measures. I

Cites Work

• Unnamed Item
• On the representation of Banach lattices by continuous numerical functions
• A Vector Lattice Topology and Function Space Representation

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