논문KCI 등재
The range of derivations on Banach algebras
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Abstract
In this paper we show that if D is a continuous linearJordan derivation on a Banach algebra A satisfying[[D(x^{n}), x^{n}], x^{n}] in rad(A) for a positive integern and for all x in A, then D maps A into rad(A).
관련 논문AI추천
On derivations in Banach algebras장익순, 전길웅, 정용수대한수학회 · 대한수학회보2002 · 제39권 제4호Jordan derivations and Jordan left derivations of Banach algebras박규홍, Yong-Soo Jung대한수학회 · 대한수학회논문집2002 · 제17권 제2호On derivations in noncommutative semiprime rings and Banach algebras박규홍대한수학회 · 대한수학회보2005 · 제42권 제4호Derivations of semiprime rings and noncommutativeBanach algebrasByung-Do Kim대한수학회 · 대한수학회논문집2002 · 제17권 제4호Linear Derivations Satisfying a Functional Equation on Semisimple Banach AlgebrasIck-Soon Chang, Yong-Soo Jung경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호Spectrally Bounded Higher Derivations Mapping into the Jacobson Radical정용수경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제1호
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