LINEAR -DERIVATIONS ON C-ALGEBRAS

• 발행기관: 충청수학회
• 저자명: Choon kil Park Jung Rye Lee Sung Jin Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 1, 49~57쪽, 전체 9쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.03.30

영문 초록

It is shown that for a derivation f(x1 · · · xj−1xjxj+1 · · · xk) =Xkj=1x1 · · · xj−1xj+1 · · · xkf(xj)on a unital C-algebra B, there exists a unique C-linear -derivation D : B ! B near the derivation, by using the Hyers-Ulam-Rassias stability of functional equations. 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.

목차

1. Introduction

2. Stability of linear -derivations on C-algebras

References