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Linear Derivations Satisfying a Functional Equation on Semisimple Banach Algebras

Yong-Soo Jung|Ick-Soon Chang
경북대학교 자연과학대학 수학과|2007.03|Kyungpook Mathematical Journal|제47권 제1호|pp. 119-125

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Abstract

In this paper, we investigate the following: LetA be a semisimple Banachalgebra. Suppose that there exists a linear derivationf :A ! A such that the functionalequation hf(x);xi2 = 0 holds for all x 2 A. Then we have f = 0 on A.

참고문헌 (8)

  1. "On derivations and commutativity in semiprime rings", 23, pp.3705~3713 (1995)
  2. "Continuity of derivations and a problem of Ka-plansky", pp.1067~1073 (1968), Sinclair
  3. "Derivations of semiprime rings and noncommutative Banach algebras", 17(4), pp.607~618 (2002)
  4. "On derivations in noncommutative semiprime rings and Banach algebras", 42(4), pp.671~678 (2005)
  5. "Jordan homomorphisms and derivations on semisimple Banach algebras", pp.209~214 (1970), Sinclair
  6. "Derivations on commutative normed algebras", pp.260~264 (1955)
  7. "The image of a derivation is contained in the radical", pp.435~460 (1988)
  8. "Centralizers on semiprime rings", 42(2), pp.237~245 (2001)

관련 논문AI추천

On derivations in Banach algebras장익순, 전길웅, 정용수대한수학회 · 대한수학회보2002 · 제39권 제4호On derivations in noncommutative semiprime rings and Banach algebras박규홍대한수학회 · 대한수학회보2005 · 제42권 제4호Jordan derivations and Jordan left derivations of Banach algebras박규홍, Yong-Soo Jung대한수학회 · 대한수학회논문집2002 · 제17권 제2호The range of derivations on Banach algebras김학만, 전길웅대한수학회 · 대한수학회보2002 · 제39권 제2호Derivations of semiprime rings and noncommutativeBanach algebrasByung-Do Kim대한수학회 · 대한수학회논문집2002 · 제17권 제4호Perturbations of higher ternary derivations in Banach ternary algebras박규홍, 정용수대한수학회 · 대한수학회논문집2008 · 제23권 제3호

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