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The properties of Jordan derivations of semiprime rings and Banach algebras, II

Byung Do Kim
대한수학회 (The Korean Mathematical Society)|2019.07|대한수학회논문집 (Communications of the KMS)|제34권 제3호|pp. 811-818|DOI 10.4134/CKMS.c180264

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참고문헌

키워드

derivationBanach algebrasemiprime ringJordan derivationthe (Jacobson) radical
주제분류수학

초록

Let $A$ be a Banach algebra with $\mbox{rad}(A)$. We show that if there exists a continuous linear Jordan derivation $D$ on $A$, then $$[D(x),x]D(x)^2\in \mbox{rad}(A)$$ if and only if $D(x)[D(x),x]D(x)\in \mbox{rad}(A)$ for all $x\in A$.

Abstract

Let $A$ be a Banach algebra with $\mbox{rad}(A)$. We show that if there exists a continuous linear Jordan derivation $D$ on $A$, then $$[D(x),x]D(x)^2\in \mbox{rad}(A)$$ if and only if $D(x)[D(x),x]D(x)\in \mbox{rad}(A)$ for all $x\in A$.

참고문헌 (17)

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  8. 김병도, "JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, I", 순수 및 응용수학, 15(2), pp.179~201 (2008), 한국수학교육학회
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  10. 김병도, "Jordan Derivations on Prime Rings and Their Applications in Banach Algebras, I", 대한수학회논문집, 28(3), pp.535~558 (2013), 대한수학회
  11. 김병도, "The properties of Jordan derivations of semiprime rings and Banach algebras, I", 대한수학회논문집, 33(1), pp.103~125 (2018), 대한수학회
  12. 박규홍, "ON CONTINUOUS LINEAR JORDAN DERIVATIONS OF BANACH ALGEBRAS", 순수 및 응용수학, 16(2), pp.227~241 (2009), 한국수학교육학회
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관련 논문AI추천

The properties of Jordan derivations of semiprime rings and Banach algebras, I김병도대한수학회 · 대한수학회논문집2018 · 제33권 제1호Jordan Derivations of Semiprime Rings and Noncommutative Banach Algebras, II김병도한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호ON CONTINUOUS LINEAR JORDAN DERIVATIONS OF BANACH ALGEBRAS김병도, 박규홍한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제2호JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, I김병도한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제2호JORDAN DERIVATIONS ON A LIE IDEAL OF A SEMIPRIME RING AND THEIR APPLICATIONS IN BANACH ALGEBRAS김병도한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제4호Jordan Derivations on Prime Rings and Their Applications in Banach Algebras, I김병도대한수학회 · 대한수학회논문집2013 · 제28권 제3호

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