Jordan Derivations of Semiprime Rings and Noncommutative Banach Algebras, II

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Kangnung National University)

Kim, Byung-Do. (2008). JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, II. 한국수학교육학회지시리즈B:순수및응용수학, 15(3), 259-296.

복사

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

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Vol.15 No.3

JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, II

Jordan Derivations of Semiprime Rings and Noncommutative Banach Algebras, II

Abstract

한국수학교육학회지시리즈B:순수및응용수학