The Equivalence of the Least Upper Bound Property and the Hahn-Banach Extension Property in Ordered Linear Spaces

DOI10.2307/2038269zbMath0205.41003OpenAlexW4254817262MaRDI QIDQ5605430

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Publication date: 1971

Full work available at URL: https://doi.org/10.2307/2038269

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) General theory of locally convex spaces (46A03)

Related Items

On the Hahn-Banach Extension Property ⋮ Nonstandard extension of not-everywhere-defined positive operators ⋮ Affine representations of \(\ell\)-groups and MV-algebras ⋮ A New Proof of the Equivalence of the Hahn-Banach Extension and the Least Upper Bound Properties ⋮ On sufficient conditions for the existence of supports to sublinear operators ⋮ Unnamed Item ⋮ Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings ⋮ Local convex analysis

Cites Work

• Unnamed Item
• Maximal convex sets
• The structure of semispaces
• The Hahn-Banach Theorem and the Least Upper Bound Property
• The Hahn-Banach Theorem for Finite Dimensional Spaces
• The Hahn-Banach Extension and the Least Upper Bound Properties are Equivalent
• A Note of Correction to a Theorem of W. E. Bonnice and R. J. Silverman