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Stability of derivations on proper Lie CQ^{*}-algebras

Abbas Najati|G. Zamani Eskandani
대한수학회 (The Korean Mathematical Society)|2009.01|대한수학회논문집 (Communications of the KMS)|제24권 제1호|pp. 5-16

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키워드

Hyers-Ulam-Rassias stabilityproper Lie CQ^{*}-algebraLie derivation
주제분류수학

초록

In this paper, we obtain the general solution and the generalized Hyers-Ulam-Rassias stability for a following functional equation <수식> for a fixed positive integer m with m≥2. This is applied to investigate derivations and their stability on proper Lie CQ^*-algebras. The concept of Hyers-Ulam-Rassias stability originated from the Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.

Abstract

In this paper, we obtain the general solution and the generalized Hyers-Ulam-Rassias stability for a following functional equation <수식> for a fixed positive integer m with m≥2. This is applied to investigate derivations and their stability on proper Lie CQ^*-algebras. The concept of Hyers-Ulam-Rassias stability originated from the Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.

참고문헌 (26)

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