Characterization of inner product spaces by means of orthogonally additive mappings

DOI10.1007/s000100050098zbMath0933.39051OpenAlexW4251602626MaRDI QIDQ1306332

Juerg Raetz

Publication date: 4 April 2000

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000100050098

zbMATH Keywords

orthogonally additive mappingsinner product spacesBlaschke-Birkhoff-James orthogonalityDiminnie orthogonality

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (6)

Orthogonality Types in Normed Linear Spaces ⋮ Characterization of inner product spaces by strongly Schur-convex functions ⋮ Orthogonality connected with integral means and characterizations of inner product spaces ⋮ Characterization of inner product spaces and quadratic functions by some classes of functions ⋮ A characterization of inner product spaces concerning an Euler-Lagrange identity ⋮ Orthogonalities and functional equations

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