The super order dual of an ordered vector space and the Riesz–Kantorovich formula

DOI10.1090/S0002-9947-01-02925-7zbMath1062.46005OpenAlexW1844655478MaRDI QIDQ2781398

Rabee Tourky, Charalambos D. Aliprantis

Publication date: 19 March 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02925-7

zbMATH Keywords

ordered vector spaceRiesz-Kantorovich formuladecentralizing pricessuper order dual

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) General equilibrium theory (91B50) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Ordered topological linear spaces, vector lattices (46A40)

Related Items (9)

General equilibrium analysis in ordered topological vector spaces ⋮ Fatou closedness under model uncertainty ⋮ Production equilibria ⋮ Core equivalences for equilibria supported by non-linear prices ⋮ Charalambos D. Aliprantis (1946-2009) ⋮ The Riesz-Kantorovich formula for lexicographically ordered spaces ⋮ Linear and nonlinear price decentralization ⋮ Arbitrage-free modeling under Knightian uncertainty ⋮ The cheapest hedge.

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