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d-isometric linear mappings in linear d-normed Banach modulesopen access
- Issue Date
- Jan-2008
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Hyers-Ulam stability; linear d-normed Banach module over C*-algebra; isometric isomorphism; d-isometric isomorphism; Cauchy additive mapping
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.45, no.1, pp.249 - 271
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 45
- Number
- 1
- Start Page
- 249
- End Page
- 271
- ISSN
- 0304-9914
- Abstract
- We prove the Hyers-Ulam stability of linear d-isometries in d-normed Banach modules over a unital C*-algebra and of linear isometries in Banach modules over a unital C*-algebra. The main purpose of this paper is to investigate d-isometric C*-algebra isomorphisms between linear d-normed C*-algebras and isometric C*-algebra isomorphisms between C*-algebras, and d-isometric Poisson C*-algebra isomorphisms between linear d-normed Poisson C*-algebras and isometric Poisson C*-algebra isomorphisms between Poisson C*-algebras. We moreover prove the Hyers-Ulam stability of their d-isometric hemomorphisms and of their isometric homomorphisms.
- Appears in
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)