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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.14 No.2

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ON THE STABILITY OF A GENERALIZED ADDITIVE FUNCTIONAL EQUATION II

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2007, v.14 no.2, pp.111-125
Lee, Jung-Rye
Lee, Tae-Keug
Shin, Dong-Yun
Lee,, J. , Lee,, T. , & Shin,, D. (2007). ON THE STABILITY OF A GENERALIZED ADDITIVE FUNCTIONAL EQUATION II. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 14(2), 111-125.

Abstract

For an odd mapping, we study a generalized additive functional equation in Banach spaces and Banach modules over a <TEX>$C^*-algebra$</TEX>. And we obtain generalized solutions of a generalized additive functional equation and so generalize the Cauchy-Rassias stability.

keywords
Banach space, Cauchy-Rassias stability, generalized additive functional equation, generalized additive mapping, Banach module over a <tex> $C^*-algebra$</tex>

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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