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On the Derivations of Semiprime Rings and Noncommutative Banach Algebras

On the Derivations of Semiprime Rings and Noncommutative Banach Algebras
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摘要 Let A be a noncommutative Banach algebra.Suppose there exists a continuous linear Jordan derivation D:A→A such that [D(x),x]D(x)[D(x),x]∈ rad(A) for all x ∈ A.In this case, D(A)rad(A). Let A be a noncommutative Banach algebra.Suppose there exists a continuous linear Jordan derivation D:A→A such that [D(x),x]D(x)[D(x),x]∈ rad(A) for all x ∈ A.In this case, D(A)rad(A).
作者 Byungdo Kim
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2000年第1期21-28,共8页 数学学报(英文版)
基金 The author has been supported by Kangnung National University,Research Fund,1998
关键词 Prime and semiprilne rings DERIVATIONS Jordan derivations Jacobson radical Banach algebras Spectral radius Prime and semiprilne rings Derivations Jordan derivations Jacobson radical Banach algebras Spectral radius
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