On quadratic and sesquilinear functionals

DOI10.1007/BF02188187zbMath0615.46043MaRDI QIDQ1820390

Peter Šemrl

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/137157

zbMATH Keywords

field of quaternionsleft A-moduleA-quadratic functionalA-sesquilinear functionalBanach *-algebra with an identityJordan-von Neumann characterization of pre-Hilbert space

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (5)

Jordan *-derivation pairs on a complex *-algebra ⋮ Jordan *-derivations and quadratic functionals on octonion algebras ⋮ Polarization identities ⋮ A generalization of the original Jordan-von Neumann theorem ⋮ On quadratic functionals

Cites Work

• Jordan derivations and quasi-bilinear forms
• A Result Concerning Additive Functions in Hermitian Banach ∗ -Algebras and an Application
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