Minimal topologies and \(L_p\)-spaces

zbMath0403.46008MaRDI QIDQ1256161

Owen Burkinshaw, Charalambos D. Aliprantis

Publication date: 1980

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1256047804

zbMATH Keywords

topology of convergence in measureOrlicz spacesRiesz spaceslocally solid topologyLebesgue propertyminimal topologies

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) Ordered topological linear spaces, vector lattices (46A40)

Related Items (6)

Submeasures and locally solid topologies on Riesz spaces ⋮ Metrizability of minimal and unbounded topologies ⋮ Characterization of locally convex solid topologies of Lebesgue on the vector lattice \(C(X)\) ⋮ Completeness of unbounded convergences ⋮ Dilatation monotonicity and convex order ⋮ Generalization of a theorem of Luxemburg and Zaanen

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