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초록
In this paper, we prove the Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation. This is applied to investigate homomorphisms between quasi-Banach algebras. The concept of Hyers-Ulam-Rassias stability originated from Th.M. Rassias' stability theorem that appeared in his paper [Th.M.Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1987) 297-300]. (c) 2007 Elsevier Inc. All rights reserved.
키워드
cauchy functional equation; homomorphism in quasi-Banach algebra; Hyers-Ularn-Rassias stability; p-Banach algebra; APPROXIMATELY ADDITIVE MAPPINGS; C-ASTERISK-ALGEBRAS; LINEAR MAPPINGS; ISOMORPHISMS; MODULES; SPACES
- 제목
- Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation
- 저자
- Najati, Abbas; Park, Choonkil
- 발행일
- 2007-11
- 유형
- Article
- 권
- 335
- 호
- 2
- 페이지
- 763 ~ 778