An extension of Pythagorean and isosceles orthogonality and a characterization of inner-product spaces

DOI10.1016/0021-9045(83)90073-4zbMath0527.46018OpenAlexW1997057061WikidataQ114215499 ScholiaQ114215499MaRDI QIDQ786363

Charles R. Diminnie, Raymond W. Freese, Edward Z. Andalafte

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90073-4

zbMATH Keywords

additiveisosceles orthogonalityhomogeneousinner-product spacealpha-orthogonality, pythagorean orthogonality

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Congruence and orthogonality in metric geometry (51F20)

Related Items (5)

A Study of Generalized Orthogonality Relations in Normed Linear Spaces ⋮ Orthogonality Types in Normed Linear Spaces ⋮ Singer orthogonality and characterizations of inner product spaces ⋮ On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces ⋮ Area orthogonality in normed linear spaces

Cites Work

• Orthogonality in normed linear spaces

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