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On the Cauchy functional inequality in Banach modules

Authors
Park, Choonkil
Issue Date
Apr-2008
Publisher
Gordon and Breach Science Publishers
Citation
Journal of Inequalities and Applications, pp 1 - 8
Pages
8
Indexed
SCIE
SCOPUS
Journal Title
Journal of Inequalities and Applications
Start Page
1
End Page
8
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/178750
DOI
10.1155/2008/904852
ISSN
1025-5834
1029-242X
Abstract
We investigate the following functional inequality: parallel to f(x) + f(y) + f(z)parallel to <= parallel to f(x+y+z)parallel to in Banach modules over a C*-algebra, and prove the generalized Hyers-Ulam stability of linear mappings in Banach modules over a C*-algebra.
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