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초록
In this paper, we prove the Hyers-Ulam-Rassias stability of the following additive functional inequality: (0.1) parallel to f(2x) + f(2y) + 2f(z)parallel to <= parallel to 2f(x + y + z)parallel to. We investigate homomorphisrns in proper CQ*-algebras and derivations on proper CQ*-algebras associated with the additive functional inequality (0.1).
키워드
additive functional inequality; Hyers-Ulam-Rassias stability; proper CQ*-algebras; proper CQ*-algebra homomorphism; derivation; APPROXIMATELY LINEAR MAPPINGS; ULAM-RASSIAS STABILITY; HOMOMORPHISMS; ISOMORPHISMS; DERIVATIONS
- 제목
- STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN PROPER CQ*-ALGEBRAS
- 저자
- Lee, Jung Rye; Park, Choonkil; Shin, Dong Yun
- 발행일
- 2011-07
- 유형
- Article
- 저널명
- 대한수학회보
- 권
- 48
- 호
- 4
- 페이지
- 853 ~ 871