Subspaces with a common complement in a separable Hilbert space

Drivaliaris, D; Yannakakis, N

dc.contributor.author	Drivaliaris, D	en
dc.contributor.author	Yannakakis, N	en
dc.date.accessioned	2014-03-01T01:29:16Z
dc.date.available	2014-03-01T01:29:16Z
dc.date.issued	2008	en
dc.identifier.issn	0378-620X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19192
dc.subject	Algebraic complement	en
dc.subject	Common complement	en
dc.subject	Completely asymptotic subspaces	en
dc.subject	Double triangle subspace lattice	en
dc.subject	Equivalently positioned subspaces	en
dc.subject	Generic position	en
dc.subject	Hilbert space geometry	en
dc.subject	Pair of subspaces	en
dc.subject	Relative position	en
dc.subject.classification	Mathematics	en
dc.title	Subspaces with a common complement in a separable Hilbert space	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00020-008-1622-5	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00020-008-1622-5	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We present an alternative proof of a characterization, due to M. Lauzon and S. Treil, of subspaces with a common complement in a separable Hilbert space. Our approach is motivated by known results concerning the relative position of two subspaces in a Hilbert space. As byproducts we obtain a simple example of a double triangle subspace lattice which is not similar to an operator double triangle and a characterization of pairs of subspaces in generic position which are not completely asymptotic to one another. © 2008 Birkhaueser.	en
heal.publisher	BIRKHAUSER VERLAG AG	en
heal.journalName	Integral Equations and Operator Theory	en
dc.identifier.doi	10.1007/s00020-008-1622-5	en
dc.identifier.isi	ISI:000259862100002	en
dc.identifier.volume	62	en
dc.identifier.issue	2	en
dc.identifier.spage	159	en
dc.identifier.epage	167	en