Generalized Cauchy functional equation and characterizations of inner product spaces

DOI10.1007/BF01835700zbMath0755.39007MaRDI QIDQ1198191

Peter Šemrl, Damjan Kobal

Publication date: 16 January 1993

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

Full work available at URL: https://eudml.org/doc/137461

zbMATH Keywords

inner product spacesCauchy functional equationquadratic functional equationslinear vector spaces

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items

Functional equations related to inner product spaces

Cites Work

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• Inner Products Characterized by Difference Equations
• Some Functional Equations in Banach Algebras and an Application
• Orthogonality in normed linear spaces