학술논문
CAUCHY{RASSIAS STABILITY OF A GENERALIZED ADDITIVE MAPPING IN BANACH MODULES AND ISOMORPHISMS IN C¤{ALGEBRAS
이용수 2
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Dong Yun Shin Choonkil Park
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 24, No. 4, 617~630쪽, 전체 14쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2011.11.30
4,480원
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국문 초록
영문 초록
then the odd mapping f : X ! Y is additive, and we prove the Cauchy-Rassias stability of the functional equation (z) in Banach modules over a unital C¤-algebra. As an application, we show that every almost linear
bijection h : A ! B of a unital C¤-algebra A onto a unital C¤-algebra B is a C¤-algebra isomorphism when h(2nuy) = h(2nu)h(y) for all unitaries u 2 A, all y 2 A, and n = 0; 1; 2; ¢ ¢ ¢ .
목차
1. Introduction
2. An odd functional equation in d variables
3. Stability of an odd functional equation in Banach modules over a C¤-algebra
4. Isomorphisms in unital C¤-algebras
키워드
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