Some results concerning the Cauchy functional equation in certain Banach algebras

Author:

Vukman J.

Abstract

In this paper some results concerning the Cauchy functional equation, that is the functional equationf(x+y) =f(x) +f(y)in complex hermitian Banach *-algebras with an identity element are presented. As an application a generalization of Kurepa's extension of the Jordan-Neumann characterization of pre-Hilbert space is obtained.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

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2. A result concerning additive functions in hermitian Banach *-algebras and an application;Vukman;Proc. Amer. Math. Soc.,1984

3. Banach algebras with involution

4. Quadratic and bilinear forms;Vrbová;ČCasopis Pěest. Mat.,1973

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