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The N-isometric isomorphisms in linear N-normed C*-algebras

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dc.contributor.author Park, C-G en
dc.contributor.author Rassias, TM en
dc.date.accessioned 2014-03-01T01:25:16Z
dc.date.available 2014-03-01T01:25:16Z
dc.date.issued 2006 en
dc.identifier.issn 1439-8516 en
dc.identifier.uri http://hdl.handle.net/123456789/17624
dc.subject Hyers-Ulam stability en
dc.subject Linear N-normed Banach module over C*-algebra en
dc.subject N-isometric isomorphism en
dc.subject Trif's mapping en
dc.subject.classification Mathematics, Applied en
dc.subject.classification Mathematics en
dc.subject.other ULAM-RASSIAS STABILITY en
dc.subject.other APPROXIMATELY ADDITIVE MAPPINGS en
dc.subject.other GENERALIZED QUADRATIC MAPPINGS en
dc.subject.other BANACH MODULES en
dc.subject.other ALEKSANDROV PROBLEM en
dc.subject.other FUNCTIONAL-EQUATIONS en
dc.subject.other CONSERVATIVE DISTANCES en
dc.subject.other JENSENS EQUATIONS en
dc.subject.other SPACES en
dc.subject.other HOMOMORPHISMS en
dc.title The N-isometric isomorphisms in linear N-normed C*-algebras en
heal.type journalArticle en
heal.identifier.primary 10.1007/s10114-005-0878-9 en
heal.identifier.secondary http://dx.doi.org/10.1007/s10114-005-0878-9 en
heal.language English en
heal.publicationDate 2006 en
heal.abstract We prove the Hyers-Ulam stability of linear N-isometries in linear N-normed Banach modules over a unital C*-algebra. The main purpose of this paper is to investigate N-isometric C*-algebra isomorphisms between linear N-normed C*-algebras, N-isometric Poisson C*-algebra isomorphisms between linear N-normed Poisson C*-algebras, N-isometric Lie C*-algebra isomorphisms between linear N-normed Lie C*-algebras, N-isometric Poisson JC*-algebra isomorphisms between linear N-normed Poisson JC*-algebras, and N-isometric Lie JC*-algebra isomorphisms between linear N-normed Lie JC*-algebras. Moreover, we prove the Hyers-Ulam stability of their N-isometric homomorphisms. © 2006 Springer-Verlag. en
heal.publisher SPRINGER HEIDELBERG en
heal.journalName Acta Mathematica Sinica, English Series en
dc.identifier.doi 10.1007/s10114-005-0878-9 en
dc.identifier.isi ISI:000241129200032 en
dc.identifier.volume 22 en
dc.identifier.issue 6 en
dc.identifier.spage 1863 en
dc.identifier.epage 1890 en


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