Representations of Archimedean Riesz spaces. - A survey

DOI10.1216/rmjm/1181072375zbMath0922.46004OpenAlexW1990832627MaRDI QIDQ1343991

Wolfgang Filter

Publication date: 14 October 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072375

zbMATH Keywords

Banach latticesrepresentation theoremsvector latticesArchimedean Riesz spacesOrlicz latticesStonian spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach lattices (46B42) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Spaces of measures (46E27) Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (9)

A characterization of the vector lattice of measurable functions ⋮ Affine representations of \(\ell\)-groups and MV-algebras ⋮ On the universal completion of pointfree function spaces ⋮ On concavity and supermodularity ⋮ Riesz product spaces and representation theory ⋮ Uniform \(s\)-boundedness and convergence results for measures with values in complete l-groups ⋮ Unnamed Item ⋮ Abstract integration with respect to measures and applications to modular convergence in vector lattice setting ⋮ On orthomorphisms, quasi-orthomorphisms and quasi-multipliers

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