The Definition of a Quadratic Form

DOI10.2307/2314635zbMath0144.02003OpenAlexW4234864571MaRDI QIDQ5519946

Andrew M. Gleason

Publication date: 1966

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2314635

zbMATH Keywords

quadratic formsbilinear forms

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63)

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The equation \(F(x)+M(x)G(1/x)=0\) and homogeneous biadditive forms ⋮ Röhmel's equation for quadratic forms ⋮ On quadratic forms ⋮ Polynomials in modules. I: Vector spaces ⋮ Jordan *-derivation pairs and quadratic functionals on modules over *-rings ⋮ Some remarks on derivations in Banach algebras and related results ⋮ A functional equation for quadratic forms ⋮ Homogeneous tri-additive forms and derivations ⋮ On ring derivations and quadratic functionals ⋮ Jordan derivations and quasi-bilinear forms ⋮ On the definition of quadratic mappings ⋮ Composite n-forms and Cauchy kernels ⋮ Joint Continuity of Measurable Biadditive Mappings ⋮ A class of symmetric biadditive functionals ⋮ Characterizing ring derivations of all orders via functional equations: results and open problems ⋮ Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems ⋮ Intrinsic characterization of polynomial transformations between vector spaces over a field of characteristic zero

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