JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, I

Kim, Byung-Do; Kim, Byung-Do

P-ISSN3059-0604
E-ISSN3059-1309
KCI

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ISSN : 3059-0604

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Vol.15 No.2

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JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, I

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

2008, v.15 no.2, pp.179-201

Kim, Byung-Do (DEPARTMENT OF MATHEMATICS, KANGNUNG NATIONAL UNIVERSITY)

Kim, Byung-Do. (2008). JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, I. , 15(2), 179-201.

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Abstract

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

keywords: semiprime ring, noncommutative Banach algebra, Jacobson radical, spectral radius, Jordan drivation

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논문 상세

Vol.15 No.2

JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, I

JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, I

Abstract

한국수학교육학회지시리즈B:순수및응용수학