Hilbert space structure and positive operators

Drivaliaris, D; Yannakakis, N

dc.contributor.author	Drivaliaris, D	en
dc.contributor.author	Yannakakis, N	en
dc.date.accessioned	2014-03-01T01:22:28Z
dc.date.available	2014-03-01T01:22:28Z
dc.date.issued	2005	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16582
dc.subject	Accretive operator	en
dc.subject	Complemented subspace	en
dc.subject	Equivalent norm	en
dc.subject	Hilbert space characterization	en
dc.subject	Positive operator	en
dc.subject	Symmetric operator	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.title	Hilbert space structure and positive operators	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jmaa.2004.12.007	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jmaa.2004.12.007	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	Let X be a real Banach space. We prove that the existence of an injective, positive, symmetric and not strictly singular operator from X into its dual implies that either X admits an equivalent Hilbertian norm or it contains a nontrivially complemented subspace which is isomorphic to a Hilbert space. We also treat the nonsymmetric case. (c) 2004 Elsevier Inc. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1016/j.jmaa.2004.12.007	en
dc.identifier.isi	ISI:000228340300014	en
dc.identifier.volume	305	en
dc.identifier.issue	2	en
dc.identifier.spage	560	en
dc.identifier.epage	565	en