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Generalized (theta, phi)-derivations on Banach algebras

신동윤|박춘길
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2014.03|한국수학논문집 (Korean Journal of Mathematics)|제22권 제1호|pp. 139-150|DOI http://dx.doi.org/10.11568/kjm.2014.22.1.139

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키워드

Cauchy-Rassias stabilitygeneralized (thetaphi)-derivation on Banach algebra
주제분류수학

초록

We introduce the concept of generalized (theta,phi)-derivations on Banach algebras, and prove the Cauchy-Rassias stability of generalized (theta, phi)-derivations on Banach algebras.

Abstract

We introduce the concept of generalized (theta,phi)-derivations on Banach algebras, and prove the Cauchy-Rassias stability of generalized (theta, phi)-derivations on Banach algebras.

참고문헌 (14)

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  10. C. Park, "Homomorphisms between Lie JC∗JC∗-algebras and Cauchy-Rassias stability of Lie JC∗JC∗-algebra derivations", J. Lie Theory, 15, pp.393~414 (2005)
  11. Chun-Gil Park, "Homomorphisms between $C^*$-algebras associated with the Triffunctional equation and linear derivations on$C^*$-algebras", 대한수학회지, 41(3), pp.461~477 (2004), 대한수학회
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  14. Th. M. Rassias, "On the stability of functional equations in Banach spaces", J. Math. Anal. Appl, 251, pp.264~284 (2000)

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