The Transitive Property of Parallel Lines is a Characteristic Property of Real Strictly Convex Banach Spaces

DOI10.2307/2045851zbMath0599.52001OpenAlexW4242062601MaRDI QIDQ3733690

J. E. Valentine

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045851

zbMATH Keywords

strictly convex Banach spaceexternally convex metric spacetransitive property of parallel linesvertical angle property

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Geometry and structure of normed linear spaces (46B20) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Cites Work

• The CMP and Banach spaces with unique metric lines
• Strictly convex spheres in V-spaces
• The Menelaus Property characterizes real rotund Banach spaces
• The Ceva Property Characterizes Real, Strictly Convex Banach Spaces
• Metric characterizations of Banach and Euclidean spaces
• Unnamed Item
• Unnamed Item

This page was built for publication: The Transitive Property of Parallel Lines is a Characteristic Property of Real Strictly Convex Banach Spaces