HYERS-ULAM-RASSIAS STABILITY OF ISOMORPHISMS IN C -ALGEBRAS

• 발행기관: 충청수학회
• 저자명: Choonkil Park
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 19, No. 2, 1~17쪽, 전체 17쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2006.06.30

영문 초록

This paper is a survey on the Hyers–Ulam–Rassias stability of the Jensen functional equation in C ∗ -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. Its content is divided into the following sections: 1. Introduction and preliminaries. 2. Approximate isomorphisms in C ∗ -algebras. 3. Approximate isomorphisms in Lie C ∗ -algebras. 4. Approximate isomorphisms in JC ∗ -algebras. 5. Stability of derivations on a C ∗ -algebra. 6. Stability of derivations on a Lie C ∗ -algebra. 7. Stability of derivations on a JC ∗ -algebra.

목차

1. Introduction and preliminaries

2. Approximate isomorphisms in C ∗ -algebras

3. Approximate isomorphisms in Lie C ∗ -algebras

4. Approximate isomorphisms in JC ∗ -algebras

5. Stability of derivations on a C ∗ -algebra

6. Stability of derivations on a Lie C ∗ -algebra

7. Stability of derivations on a JC ∗ -algebra