The Pexiderized Apollonius-Jensen type additive mapping and isomorphisms between C*-algebras
- Authors
- Najati, Abbas; Park, Choonkil
- Issue Date
- May-2008
- Publisher
- TAYLOR & FRANCIS LTD
- Keywords
- hyers-Ulam-Rassias stability; Pexiderized Apollonius-Jensen type additive mapping; isomorphism between C*-algebras; Cauchy additive mapping
- Citation
- JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, v.14, no.5, pp.459 - 479
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
- Volume
- 14
- Number
- 5
- Start Page
- 459
- End Page
- 479
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/178643
- DOI
- 10.1080/10236190701466546
- ISSN
- 1023-6198
- Abstract
- Let X, Y be Banach modules over a C*-algebra. We prove the Hyers-Ulam-Rassias stability of the following Pexiderized functional equation in Banach modules over a unital C*-algebra: [GRAPHICS] It is shown that mappings F,G,H:XY satisfy the functional Equation (0.1) and F(0)=G(0) if and only if the mappings F,G,H:XY are Cauchy additive and F=G=H. As an application, we show that bijective mappings F,G,H:AB of a unital C*-algebra A onto a unital C*-algebra B are C*-algebra isomorphisms when F(0)=G(0)=0, F is [image omitted]-linear and H(2duy)=F(2du)G(y) for all unitaries uA all yA and all
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