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JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, I

김병도
한국수학교육학회|2008.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제15권 제2호|pp. 179-201

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참고문헌

키워드

Jacobson radicalsemiprime ringnoncommutative Banach algebraspec- tral radiusJordan drivation.
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초록

Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation D : A ! A such that D(x)[D(x); x]2 2 rad(A) or [D(x); x]2D(x) 2 rad(A) for all x 2 A: In this case, we have D(A) µ rad(A):

Abstract

Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation D : A ! A such that D(x)[D(x); x]2 2 rad(A) or [D(x); x]2D(x) 2 rad(A) for all x 2 A: In this case, we have D(A) µ rad(A):

참고문헌 (12)

  1. F.F. Bonsall, "Complete Normed Algebras, Berlin-Heidelberg-New York", ~ (1973)
  2. M. Bresar, "Derivations of noncommutative Banach algebras II", Arch. Math, 63, pp.56~59 (1994)
  3. M. Bresar, "Jordan derivations on semiprime rings", Proc. Amer. Math. Soc, 104(4), pp.1003~1006 (1988)
  4. L.O. Chung, "Semiprime rings with nilpotent derivatives", Canad. Math. Bull, 24(4), pp.415~421 (1981)
  5. B.E. Johnson, "Continuity of derivations and a problem of Kaplansky", Amer. J. Math, 90, pp.1067~1073 (1968)
  6. B.D. Kim, "On the derivations of semiprime rings and noncommutative Banach algebras", Acta Mathematica Sinica, 16(1), pp.21~28 (2000)
  7. Byung-Do Kim, "Derivations of semiprime rings and noncommutativeBanach algebras", 대한수학회논문집, 17(4), pp.607~618 (2002), 대한수학회
  8. A.M. Sinclair, "Jordan homohorphisms and derivations on semisimple Banach algebras", Proc. Amer. Math. Soc, 24, pp.209~214 (1970)
  9. I.M. Singer, "Derivations on commutative normed algebras", Math. Ann, 129, pp.260~264 (1955)
  10. M.P. Thomas, "The image of a derivation is contained in the radical", Annals of Math, 128, pp.435~460 (1988)
  11. J. Vukman, "A result concerning derivations in noncommutative Banach algebras", Glasnik Mathematicki, 26(46), pp.83~88 (1991)
  12. J. Vukman, "On derivations in prime rings and Banach algebras", Proc. Amer. Math. Soc, 116(4), pp.877~884 (1992)

관련 논문AI추천

Jordan Derivations of Semiprime Rings and Noncommutative Banach Algebras, II김병도한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호The properties of Jordan derivations of semiprime rings and Banach algebras, I김병도대한수학회 · 대한수학회논문집2018 · 제33권 제1호The properties of Jordan derivations of semiprime rings and Banach algebras, IIByung Do Kim대한수학회 · 대한수학회논문집2019 · 제34권 제3호ON CONTINUOUS LINEAR JORDAN DERIVATIONS OF BANACH ALGEBRAS김병도, 박규홍한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제2호Jordan Derivations on Prime Rings and Their Applications in Banach Algebras, I김병도대한수학회 · 대한수학회논문집2013 · 제28권 제3호JORDAN DERIVATIONS ON A LIE IDEAL OF A SEMIPRIME RING AND THEIR APPLICATIONS IN BANACH ALGEBRAS김병도한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제4호

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