A triangle inequality in Hilbert modules over matrix algebras

Farenick, D; Psarrakos, P

dc.contributor.author	Farenick, D	en
dc.contributor.author	Psarrakos, P	en
dc.date.accessioned	2014-03-01T01:51:27Z
dc.date.available	2014-03-01T01:51:27Z
dc.date.issued	2002	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/26298
dc.subject	Hilbert Module	en
dc.subject	Matrix Algebra	en
dc.subject	Matrix Inequalities	en
dc.subject	Triangle Inequality	en
dc.title	A triangle inequality in Hilbert modules over matrix algebras	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0024-3795(01)00267-1	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0024-3795(01)00267-1	en
heal.publicationDate	2002	en
heal.abstract	The matrix-valued triangle inequalities of R.C. Thompson [Pacific J. Math. 66 (1976) 285–290] are extended to sequences of matrices with real, complex, or quaternion entries. These new matrix inequalities, in turn, imply a natural formulation of the triangle inequality which is valid in certain Hilbert modules over real or complex semisimple matrix algebras.	en
heal.journalName	Linear Algebra and Its Applications	en
dc.identifier.doi	10.1016/S0024-3795(01)00267-1	en