d-isometric linear mappings in linear d-normed banach modules

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dc.contributor.author Park, C en
dc.contributor.author Rassias, TM en
dc.date.accessioned 2014-03-01T01:28:10Z
dc.date.available 2014-03-01T01:28:10Z
dc.date.issued 2008 en
dc.identifier.issn 0304-9914 en
dc.identifier.uri http://hdl.handle.net/123456789/18743
dc.subject Cauchy additive mapping en
dc.subject d-isometric isomorphism en
dc.subject Hyers-Ulam stability en
dc.subject Isometric isomorphism en
dc.subject Linear d-normed banach module over C*-algebra en
dc.subject.classification Mathematics, Applied en
dc.subject.classification Mathematics en
dc.subject.other C-ASTERISK-ALGEBRAS en
dc.subject.other ULAM-RASSIAS STABILITY en
dc.subject.other QUANTUM N-SPACE en
dc.subject.other ALEKSANDROV PROBLEM en
dc.subject.other CONSERVATIVE DISTANCES en
dc.subject.other FUNCTIONAL-EQUATIONS en
dc.subject.other HOMOMORPHISMS en
dc.subject.other DERIVATIONS en
dc.subject.other AUTOMORPHISM en
dc.title d-isometric linear mappings in linear d-normed banach modules en
heal.type journalArticle en
heal.identifier.primary 10.4134/JKMS.2008.45.1.249 en
heal.identifier.secondary http://dx.doi.org/10.4134/JKMS.2008.45.1.249 en
heal.language English en
heal.publicationDate 2008 en
heal.abstract We prove the Hyers-Ulam stability of linear d-isometries in linear 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 homomorphisms and of their isometric homomorphisms. © 2008 The Korean Mathematical Society. en
heal.journalName Journal of the Korean Mathematical Society en
dc.identifier.doi 10.4134/JKMS.2008.45.1.249 en
dc.identifier.isi ISI:000252286800016 en
dc.identifier.volume 45 en
dc.identifier.issue 1 en
dc.identifier.spage 249 en
dc.identifier.epage 271 en

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