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초록
We prove the Hyers-Ulam stability of partitioned functional equations in Banach modules over a unital C^*-algebra. It is applied to show the stability of algebra homomorphisms in Banach algebras associated with partitioned functional equations in Banach algebras.
키워드
unitary group; partitioned functional equation; approximate algebra homomorphism; Banach module over C^*-algebra; stability.
- 제목
- Functional equations in Banach modules and approximate algebra homomorphisms in Banach algebras
- 저자
- Boo, Deok-Hoon; Kenary, Hassan Azadi; Park, Choonkil
- 발행일
- 2011-03
- 저널명
- 한국수학논문집
- 권
- 19
- 호
- 1
- 페이지
- 33 ~ 52