Some geometric characterizations of inear product spaces

DOI10.1017/S0004972700007619zbMath0473.46015OpenAlexW2022485955MaRDI QIDQ3927675

O. P. Kapoor, S. B. Mathur

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1017/s0004972700007619

zbMATH Keywords

inner product spacesBirkhoff-James orthogonality

Mathematics Subject Classification ID

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 (6)

Functionals generated dually by minimal projectors, and criteria for Banach spaces to be Hilbert ⋮ Some characteristic and non-characteristic properties of inner product spaces ⋮ Some results on Singer orthogonality and characterizations of inner product spaces ⋮ \(p\)-angular distance orthogonality ⋮ Area orthogonality in normed linear spaces ⋮ Orthogonality in Generalized Minkowski Spaces

Cites Work

• The rectangular constant for two-dimensional spaces
• Caractérisations d'espaces hilbertiens au moyen de la constante rectangle
• Rotundity, orthogonality, and characterizations of inner product spaces
• Orthogonality and Nonlinear Functionals on Banach Spaces
• Some Characterizations of Inner-Product Spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Orthogonality in normed linear spaces

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