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

Park, C; Rassias, TM

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	https://dspace.lib.ntua.gr/xmlui/handle/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	APPROXIMATELY ADDITIVE MAPPINGS	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.publisher	KOREAN MATHEMATICAL SOC	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