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- W2314957712 abstract "Let X be a real linear space and let a ∈ R, a � 0, be fixed. Assuming that the functions g,h : X → R satisfy the inequalities g(ax+y)+h(x −ay) a 2 g(x)+g(y)+h(x)+ a 2 h(y) for all x,y ∈ X, and some subhomogeneity type conditions, we prove that h = g, the function g is a quadratic functional, and there exists a unique symmetric biadditive function S : X 2 → R such that g(x )= S(x,x) for all x ∈ X. A motivation in the theory of orthogonal additive functions is presented." @default.
- W2314957712 created "2016-06-24" @default.
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- W2314957712 date "2012-01-01" @default.
- W2314957712 modified "2023-09-25" @default.
- W2314957712 title "Quadratic inequalities and a characterization of inner product" @default.
- W2314957712 cites W1518096223 @default.
- W2314957712 doi "https://doi.org/10.7153/mia-15-50" @default.
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