Some results concerning the Cauchy functional equation in certain Banach algebras

DOI10.1017/S0004972700002343zbMath0559.46024MaRDI QIDQ5185530

Joso Vukman

Publication date: 1985

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Cauchy functional equationcomplex hermitian Banach *-algebrasKurepa's extension of the Jordan-Neumann characterization of pre-Hilbert space

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Functional equations for functions with more general domains and/or ranges (39B52) General theory of topological algebras with involution (46K05)

Related Items (7)

On quadratic forms ⋮ Jordan-von Neumann theorem for Saworotnow's generalized Hilbert space ⋮ Jordan *-derivations and quadratic functionals on octonion algebras ⋮ Some remarks on derivations in Banach algebras and related results ⋮ On the Hyers-Ulam-Rassias stability of generalized quadratic mappings in Banach modules. ⋮ On Jordan *-mappings in rings with involution. ⋮ Some Functional Equations in Banach Algebras and an Application

Cites Work

• Unnamed Item
• Banach algebras with involution
• A Result Concerning Additive Functions in Hermitian Banach ∗ -Algebras and an Application
• A Square Root Lemma for Banach (^* )-Algebras

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