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ORTHOGONALITY AND LINEAR MAPPINGS IN BANACH MODULES

ORTHOGONALITY AND LINEAR MAPPINGS IN BANACH MODULES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2015, v.22 no.4, pp.343-357
https://doi.org/10.7468/jksmeb.2015.22.4.343
YUN, SUNGSIK (DEPARTMENT OF FINANCIAL MATHEMATICS, HANSHIN UNIVERITY)
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Abstract

Using the fixed point method, we prove the Hyers-Ulam stability of lin- ear mappings in Banach modules over a unital C*-algebra and in non-Archimedean Banach modules over a unital C*-algebra associated with the orthogonally Cauchy- Jensen additive functional equation.

keywords
Hyers-Ulam stability, orthogonally Cauchy-Jensen additive functional equation, fixed point, non-Archimedean Banach module over C*-algebra, orthogonality space

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한국수학교육학회지시리즈B:순수및응용수학