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dc.contributor.author
Andruchow, Esteban
dc.date.available
2016-01-06T15:56:30Z
dc.date.issued
2015-01
dc.identifier.citation
Andruchow, Esteban; Parametrizing projections with selfadjoint operators; Elsevier Science Inc; Linear Algebra And Its Applications; 466; 1-2015; 307-328
dc.identifier.issn
0024-3795
dc.identifier.uri
http://hdl.handle.net/11336/3381
dc.description.abstract
Let H=H+⊕H− be an orthogonal decomposition of a Hilbert space, with E+, E− the corresponding projections. Let A be a selfadjoint operator in H which is codiagonal with respect to this decomposition (i.e. A(H+)⊂H− and A(H−)⊂H+). We consider three maps which assign a selfadjoint projection to A: 1.The graph map Γ : Γ(A)=projection onto the graph of A|H+. 2.The exponential map of the Grassmann manifold P of H (the space of selfadjoint projections in H) at E+: . 3.The map p, called here the Davis' map, based on a result by Chandler Davis, characterizing the selfadjoint contractions which are the difference of two projections. The ranges of these maps are studied and compared. Using Davis' map, one can solve the following operator matrix completion problem: given a contraction a:H−→H+, complete the matrix to a projection P , in order that ‖P−E+‖ is minimal.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science Inc
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Projection
dc.subject
Selfadjoint Operator
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Parametrizing projections with selfadjoint operators
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-03-30 10:35:44.97925-03
dc.journal.volume
466
dc.journal.pagination
307-328
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Andruchow, Esteban. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
dc.journal.title
Linear Algebra And Its Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0024379514006983
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.laa.2014.10.029
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