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Jordan Derivations on Prime Rings and Their Applications in Banach Algebras, I

김병도
대한수학회 (The Korean Mathematical Society)|2013.07|대한수학회논문집 (Communications of the KMS)|제28권 제3호|pp. 535-558

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참고문헌

키워드

Jordan derivationprime and semiprime ring(Jacobson) radical
주제분류수학

초록

The purpose of this paper is to prove that the noncom-mutative version of the Singer-Wermer Conjecture is affirmative undercertain conditions. Let A be a noncommutative Banach algebra. Sup-pose there exists a continuous linear Jordan derivation D : A→ A suchthat D(x)3[D(x), x] ∈ rad(A) for all x ∈ A. In this case, we show that D(A) ⊆ rad(A).

Abstract

The purpose of this paper is to prove that the noncom-mutative version of the Singer-Wermer Conjecture is affirmative undercertain conditions. Let A be a noncommutative Banach algebra. Sup-pose there exists a continuous linear Jordan derivation D : A→ A suchthat D(x)3[D(x), x] ∈ rad(A) for all x ∈ A. In this case, we show that D(A) ⊆ rad(A).

참고문헌 (15)

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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
  9. 김병도, "Jordan Derivations of Semiprime Rings and Noncommutative Banach Algebras, II", 순수 및 응용수학, 15(3), pp.259~296 (2008), 한국수학교육학회
  10. 박규홍, "ON CONTINUOUS LINEAR JORDAN DERIVATIONS OF BANACH ALGEBRAS", 순수 및 응용수학, 16(2), pp.227~241 (2009), 한국수학교육학회
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  14. J. Vukman, "A result concerning derivations in noncommutative Banach algebras", Glas. Mat. Ser. III, 26(1), pp.83~88 (1991)
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관련 논문AI추천

JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, I김병도한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제2호Jordan Derivations of Semiprime Rings and Noncommutative Banach Algebras, II김병도한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호The properties of Jordan derivations of semiprime rings and Banach algebras, IIByung Do Kim대한수학회 · 대한수학회논문집2019 · 제34권 제3호The properties of Jordan derivations of semiprime rings and Banach algebras, I김병도대한수학회 · 대한수학회논문집2018 · 제33권 제1호ON CONTINUOUS LINEAR JORDAN DERIVATIONS OF BANACH ALGEBRAS김병도, 박규홍한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제2호JORDAN DERIVATIONS ON A LIE IDEAL OF A SEMIPRIME RING AND THEIR APPLICATIONS IN BANACH ALGEBRAS김병도한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제4호

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