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Some results concerning the Cauchy functional equation in certain Banach algebras

Published online by Cambridge University Press:  17 April 2009

J. Vukman
J. Vukman
Affiliation:
University of Maribor, VEKS, Razlagova 14, 62000 Maribor, Yugoslavia.
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Abstract

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In this paper some results concerning the Cauchy functional equation, that is the functional equation f(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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 31 , Issue 1 , February 1985 , pp. 137 - 144
Copyright
Copyright © Australian Mathematical Society 1985

References

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