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ON CONTINUOUS LINEAR JORDAN DERIVATIONS OF BANACH ALGEBRAS

김병도|박규홍
한국수학교육학회|2009.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제16권 제2호|pp. 227-241

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참고문헌

키워드

derivationBanach algebraJordan derivationprime and semiprime ring(Jacobson) radical.
주제분류수학

초록

Let A be a Banach algebra. Suppose there exists a continuous linear Jordan derivation D : A → A such that [D(x), x]D(x)²[D(x), x] ∈ rad(A) for all x ∈ A. Then we have D(A) ⊆ rad(A).

Abstract

Let A be a Banach algebra. Suppose there exists a continuous linear Jordan derivation D : A → A such that [D(x), x]D(x)²[D(x), x] ∈ rad(A) for all x ∈ A. Then we have D(A) ⊆ rad(A).

참고문헌 (16)

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  7. Byung-Do Kim, "Derivations of semiprime rings and noncommutativeBanach algebras", 대한수학회논문집, 17(4), pp.607~618 (2002), 대한수학회
  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. A. M. Sinclair, "Jordan homohorphisms and derivations on semisimple Banach algebras", Proc. Amer. Math. Soc, 24, pp.209~214 (1970)
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  12. 박규홍, "On 4-permuting 4-derivations in Prime and Semiprime Rings", 순수 및 응용수학, 14(4), pp.271~278 (2007), 한국수학교육학회
  13. M.P. Thomas, "The image of a derivation is contained in the radical", Annals of Math, 128, pp.435~460 (1988)
  14. J. Vukman, "A result concerning derivations in noncommutative Banach algebras", Glas-nik Mathematicki, 26(46), pp.83~88 (1991)
  15. J. Vukman, "On derivations in prime rings and Banach algebra", Proc. Amer. Math. Soc, 116(4), pp.877~884 (1992)
  16. J. Vukman, "On left Jordan derivations of rings and Banach algebras", Aequationes. Math, 75, pp.260~266 (2008)

관련 논문AI추천

The properties of Jordan derivations of semiprime rings and Banach algebras, IIByung Do Kim대한수학회 · 대한수학회논문집2019 · 제34권 제3호Jordan Derivations of Semiprime Rings and Noncommutative Banach Algebras, II김병도한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, I김병도한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제2호The properties of Jordan derivations of semiprime rings and Banach algebras, I김병도대한수학회 · 대한수학회논문집2018 · 제33권 제1호Jordan Derivations on Prime Rings and Their Applications in Banach Algebras, I김병도대한수학회 · 대한수학회논문집2013 · 제28권 제3호LEFT JORDAN DERIVATIONS ON BANACH ALGEBRAS AND RELATED MAPPINGS박규홍, 정용수대한수학회 · 대한수학회보2010 · 제47권 제1호

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