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

DOI10.2307/2038269zbMath0221.46007OpenAlexW4254817262MaRDI QIDQ5625751

No author found.

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

Hahn-Banach-type theorems and applications to optimization for partially ordered vector space-valued invariant operators ⋮ Unnamed Item

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