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dc.contributor.author
Chiumiento, Eduardo Hernan
dc.contributor.author
Maestripieri, Alejandra Laura
dc.contributor.author
Martinez Peria, Francisco Dardo
dc.date.available
2017-06-08T15:07:16Z
dc.date.issued
2015-07
dc.identifier.citation
Chiumiento, Eduardo Hernan; Maestripieri, Alejandra Laura; Martinez Peria, Francisco Dardo; On the geometry of normal projections in Krein spaces; Theta Foundation; Journal Of Operator Theory; 74; 1; 7-2015; 75-99
dc.identifier.issn
1841-7744
dc.identifier.uri
http://hdl.handle.net/11336/17759
dc.description.abstract
Let H be a Krein space with fundamental symmetry J. Along this paper, the geometric structure of the set of J-normal projections Q is studied. The group of J-unitary operators UJ naturally acts on Q. Each orbit of this action turns out to be an analytic homogeneous space of UJ, and a connected component of Q. The relationship between Q and the set E of J-selfadjoint projections is analized: both sets are analytic submanifolds of L(H) and there is a natural real analytic submersion from Q onto E, namely Q↦QQ#. The range of a J-normal projection is always a pseudo-regular subspace. Then, for a fixed pseudo-regular subspace S, it is proved that the set of J-normal projections onto S is a covering space of the subset of J-normal projections onto S with fixed regular part.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Theta Foundation
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Normal Operator
dc.subject
Projection
dc.subject
Krein Space
dc.subject
Submanifold
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On the geometry of normal projections in Krein spaces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2015-10-29T15:07:46Z
dc.journal.volume
74
dc.journal.number
1
dc.journal.pagination
75-99
dc.journal.pais
Rumania
dc.journal.ciudad
Bucarest
dc.description.fil
Fil: Chiumiento, Eduardo Hernan. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Martinez Peria, Francisco Dardo. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Journal Of Operator Theory
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1504.04253
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.mathjournals.org/jot/2015-074-001/2015-074-001-004.html
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.7900/jot.2014may06.2035
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