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Functional equations in Banach modules and approximate algebra homomorphisms in Banach algebras
- Issue Date
- Mar-2011
- Publisher
- 강원경기수학회
- Keywords
- unitary group; partitioned functional equation; approximate algebra homomorphism; Banach module over C^*-algebra; stability.
- Citation
- 한국수학논문집, v.19, no.1, pp.33 - 52
- Indexed
- KCI
- Journal Title
- 한국수학논문집
- Volume
- 19
- Number
- 1
- Start Page
- 33
- End Page
- 52
- ISSN
- 1976-8605
- Abstract
- 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.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)