The Borsuk-Ulam Theorem and Orthogonality in Normed Linear Spaces

DOI10.2307/2322028zbMath0425.46012OpenAlexW4241879814MaRDI QIDQ3860344

Aldric L. Brown

Publication date: 1979

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2322028

zbMATH Keywords

orthogonalityBorsuk-Ulam antipodal mapping theoremdeviation between subspaces of normed linear spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items

Set valued mappings, continuous selections, and metric projections, TOPOLOGIES ON THE SET OF ALL SUBSPACES OF A BANACH SPACE AND RELATED QUESTIONS OF BANACH SPACE GEOMETRY, Finite rank approximations to integral operators which satisfy certain total positivity conditions, Markov and Bernstein's inequalities and compact and strictly singular operators