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

Park, C-G; Rassias, TM

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	https://dspace.lib.ntua.gr/xmlui/handle/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