Rotundity, orthogonality, and characterizations of inner product spaces

DOI10.1090/S0002-9904-1975-13927-9zbMath0317.46022OpenAlexW2029052878MaRDI QIDQ4078572

James R. Holub

Publication date: 1975

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1975-13927-9

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items

Best coapproximation in normed linear spaces, On complex strictly convex spaces. II, The geometry of Minkowski spaces -- a survey. I, Circle configurations in strictly convex normed planes, Orthogonality and characterizations of inner product spaces, Some geometric characterizations of inear product spaces, The geometry of Minkowski spaces -- a survey. II.

Cites Work

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• Orthogonality in linear metric spaces
• Uniformly Convex Spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Inner products in normed linear spaces
• Orthogonality in normed linear spaces