Functional Representation of Vector Lattices

DOI10.2307/2048297zbMath0743.46005OpenAlexW4252067946MaRDI QIDQ4710825

Isidore Fleischer

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2048297

zbMATH Keywords

vector latticeArchimedean vector latticesFreudenthal's spectral theoremextremally disconnected Stone spacedensely finite-valued continuous functionsKakutani's structure theorem for \(L\)- spaceslattice of distribution functions valued in the complete Boolean algebra of its annihilators

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) Lattices of continuous, differentiable or analytic functions (46E05) Real-valued functions in general topology (54C30) Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Topological representations of algebraic systems (54H10)

Related Items (2)

Representations of Archimedean Riesz spaces. - A survey ⋮ Representations of Riesz spaces as spaces of measures. I

Cites Work

• Groupes et anneaux reticules
• "Place Functions": Alias Continuous Functions on the Stone Space
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