Stability of a Bi-Additive Functional Equation in Banach Modules Over a C⋆-Algebra

Stability of a Bi-Additive Functional Equation in Banach Modules Over a C⋆-Algebra

We solve the bi-additive functional equation f(x+y,z−w)+f(x−y,z+w)=2f(x,z)−2f(y,w) and prove that every bi-additive Borel function is bilinear. And we investigate the stability of a bi-additive functional equation in Banach modules over a unital C⋆-algebra.

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Bibliographic Details
Main Authors: Won-Gil Park, Jae-Hyeong Bae
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/835893
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