Approximately linear mappings in banach modules over a C*-algebra
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Jian Lian Cui | - |
dc.date.accessioned | 2022-10-07T10:48:12Z | - |
dc.date.available | 2022-10-07T10:48:12Z | - |
dc.date.created | 2022-08-26 | - |
dc.date.issued | 2007-11 | - |
dc.identifier.issn | 1439-8516 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/172217 | - |
dc.description.abstract | Let X and Y be vector spaces. The authors show that a mapping f: X -> Y satisfies the functional equation [GRAPHICS] with f(0) = 0 if and only if the mapping f: X -> Y is Cauchy additive, and prove the stability of the functional equation (double dagger) in Banach modules over a unital C*-algebra, and in Poisson Banach modules over a unital Poisson C*-algebra. Let A and B be unital C*-algebras, Poisson C*-algebras or Poisson JC*-algebras. As an application, the authors show that every almost homomorphism h: A -> B of A into B is a homomorphism when h((2d-1)(n)uy) = h((2d-1)(n)u)h(y) or h((2d-1)(n)u.y) = h((2d-1)(n)u).h(y) for all unitaries u is an element of A, all y is an element of A, n = 0, 1, 2,.... Moreover, the authors prove the stability of homomorphisms in C*-algebras, Poisson C*-algebras or Poisson JC*-algebras. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.title | Approximately linear mappings in banach modules over a C*-algebra | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.1007/s10114-007-0964-2 | - |
dc.identifier.scopusid | 2-s2.0-35648967601 | - |
dc.identifier.wosid | 000250481800001 | - |
dc.identifier.bibliographicCitation | ACTA MATHEMATICA SINICA-ENGLISH SERIES, v.23, no.11, pp.1919 - 1936 | - |
dc.relation.isPartOf | ACTA MATHEMATICA SINICA-ENGLISH SERIES | - |
dc.citation.title | ACTA MATHEMATICA SINICA-ENGLISH SERIES | - |
dc.citation.volume | 23 | - |
dc.citation.number | 11 | - |
dc.citation.startPage | 1919 | - |
dc.citation.endPage | 1936 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | ULAM-RASSIAS STABILITY | - |
dc.subject.keywordPlus | QUANTUM N-SPACE | - |
dc.subject.keywordPlus | FUNCTIONAL-EQUATIONS | - |
dc.subject.keywordPlus | JENSENS EQUATION | - |
dc.subject.keywordPlus | HOMOMORPHISMS | - |
dc.subject.keywordPlus | BEHAVIOR | - |
dc.subject.keywordAuthor | C*-algebra homomorphism | - |
dc.subject.keywordAuthor | Poisson Banach module over Poisson C*-algebra | - |
dc.subject.keywordAuthor | Poisson C *-algebra homomorphism | - |
dc.subject.keywordAuthor | Poisson JC*-algebra homomorphism | - |
dc.subject.keywordAuthor | Stability | - |
dc.identifier.url | https://link.springer.com/article/10.1007/s10114-007-0964-2 | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
222, Wangsimni-ro, Seongdong-gu, Seoul, 04763, Korea+82-2-2220-1365
COPYRIGHT © 2021 HANYANG UNIVERSITY.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.