A characterization of inner product spaces based on orthogonal relations related to height's theorem

DOI10.1216/rmjm/1181072190zbMath0845.46011OpenAlexW2068815179MaRDI QIDQ1912619

Claudi Alsina, Piedad Guijarro, Maria S. Tomàs

Publication date: 13 May 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072190

zbMATH Keywords

inner product spacesheight's theoremorthogonal relations

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05)

Related Items (3)

Orthogonality Types in Normed Linear Spaces ⋮ On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces ⋮ On height orthogonality in normed linear spaces

Cites Work

• On orthogonally additive mappings
• Characterizations of inner product spaces
• Some Characterizations of Inner-Product Spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Orthogonality in normed linear spaces

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