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

ISSN : 1226-0657

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Vol.15 No.3

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Jordan Derivations of Semiprime Rings and Noncommutative Banach Algebras, 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
2008, v.15 no.3, pp.259-296
Kim, Byung-Do
Kim,, B. (2008). Jordan Derivations of Semiprime Rings and Noncommutative Banach Algebras, II. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 15(3), 259-296.

Abstract

Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation D : A <TEX>$\rightarrow$</TEX> A such that <TEX>$D(x)^2$</TEX>[D(x),x] <TEX>$\in$</TEX> rad(A) or [D(x),x]<TEX>$D(x)^2$</TEX> <TEX>$\in$</TEX> rad(A) for all x <TEX>$\in$</TEX> A. In this case, we have D(A) <TEX>$\subseteq$</TEX> rad(A).

keywords
semiprime ring, Banach algebra, Jordan derivation

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

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