Localisation of continuity to bounded sets for nonmetrisable vector topologies and its applications to economic equilibrium theory

DOI10.1016/S0019-3577(00)88573-0zbMath0987.46049OpenAlexW2068687920MaRDI QIDQ5935885

Andrzej J. Wrobel, Anthony Horsley

Publication date: 28 June 2001

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(00)88573-0

zbMATH Keywords

continuity of lattice operationsconvergence in measureeconomic equilibrium theoryKrein-Shmuljan theoremLebesgue's dominated convergence theoremlocalizationsequential semicontinuityweak* and Mackey 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) General equilibrium theory (91B50) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Duality theory for topological vector spaces (46A20) Ordered topological linear spaces, vector lattices (46A40)

Related Items (2)

Efficiency rents of pumped-storage plants and their uses for operation and investment decisions ⋮ Mackey continuity of convex functions on dual Banach spaces: a review

Cites Work

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• On the existence of equilibria in economies with an infinite dimensional commodity space
• A Note on Price Systems in Infinite Dimensional Space

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