Helly's selection theorem and the principle of local reflexivity of ordered type

DOI10.1016/0019-3577(94)90027-2zbMath0819.46014OpenAlexW2036679749MaRDI QIDQ1333615

V. Pereyra

Publication date: 17 August 1995

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

Full work available at URL: https://doi.org/10.1016/0019-3577(94)90027-2

zbMATH Keywords

half-full injectionshalf- decomposable surjectionsHelly's selection theorem of ordered typeordered normed space with a positive coneprinciple of local reflexivity of ordered type

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40)

Cites Work

• General principle of local reflexivity in the theory of cone duality
• The topology of uniform convergence on order-bounded sets
• Ordered linear spaces
• The \(L_ p\) spaces
• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• On the principle of local reflexivity
• Schwartz Spaces, Nuclear Spaces and Tensor Products
• The Equation L(E, X ∗ ∗ = L(E, X) ∗ ∗ and the Principle of Local Reflexivity
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