- 영문명
- 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
- 발행일자
- 2006.06.30
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국문 초록
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
키워드
해당간행물 수록 논문
- ON AP-HENSTOCK-STIELTJES INTEGRAL
- MULTIPLICITY RESULTS FOR THE PERIODIC SOLUTIONS OF THE NONLINEAR HAMILTONIAN SYSTEMS
- ALMOST PERIODIC SOLUTIONS OF LINEAR DIFFERENCE SYSTEMS
- ON THE ORDER AND RATE OF CONVERGENCE FOR PSEUDO-SECANT-NEWTON’S METHOD LOCATING A
- THE RIESZ THEOREM IN LINEAR n-NORMED SPACES
- HYERS-ULAM-RASSIAS STABILITY OF ISOMORPHISMS IN C -ALGEBRAS
- EXISTENCE OF PERIODIC SOLUTIONS TO LIAPUNOV CHARACTERISTIC INDEX EQUATIONS
- GENERALIZED QUASI–BANACH SPACES AND QUASI–(2; p)–NORMED SPACES
- ON THE GENERALIZED HYERS–ULAM STABILITY OF A CUBIC FUNCTIONAL EQUATION
- MORITA EQUIVALENCE FOR HOMOGENEOUS C -ALGEBRAS OVER LOWER DIMENSIONAL SPHERES
참고문헌
관련논문
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