A characterization of inner product spaces concerning an Euler-Lagrange identity

zbMath1194.46037MaRDI QIDQ969212

Mohammad Sal Moslehian, John Michael S. Rassias

Publication date: 12 May 2010

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1271890667

zbMATH Keywords

characterization of inner product spacesDay's condition

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15)

Related Items (14)

Ulam's stability of a generalization of the Fréchet functional equation ⋮ On the generalized Fréchet functional equation with constant coefficients and its stability ⋮ AQCQ-functional equation in non-Archimedean normed spaces ⋮ Stability of a generalization of the Fréchet functional equation ⋮ On Ulam stability of the inhomogeneous version of the general linear functional equation ⋮ On Ulam Stability of a Generalization of the Fréchet Functional Equation on a Restricted Domain ⋮ Hyperstability of the Fréchet equation and a characterization of inner product spaces ⋮ Characterizations of inner product spaces via angular distances and Cauchy-Schwarz inequality ⋮ A characterization of inner product spaces related to the \(p\)-angular distance ⋮ Bounds for the \(p\)-angular distance and characterizations of inner product spaces ⋮ Some aspects of generalized Zbăganu and James constant in Banach spaces ⋮ On new moduli related to the generalization of the parallelogram law ⋮ Approximate Euler-Lagrange quadratic mappings in fuzzy Banach spaces ⋮ A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces

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• A Remark on M. M. Day's Characterization of Inner-Product Spaces and a Conjecture of L. M. Blumenthal

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