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dc.contributor.author
Andruchow, Esteban
dc.date.available
2017-07-12T15:58:18Z
dc.date.issued
2011-06
dc.identifier.citation
Andruchow, Esteban; Strongly smooth paths of idempotents; Elsevier; Journal Of Mathematical Analysis And Applications; 378; 1; 6-2011; 252-267
dc.identifier.issn
0022-247X
dc.identifier.uri
http://hdl.handle.net/11336/20227
dc.description.abstract
It is shown that a curve q(t), t ∈ I (0 ∈ I) of idempotent operators on a Banach space X, which verifies that for each ξ ∈ X, the map t → q(t)ξ ∈ X is continuously differentiable, can be lifted by means of a regular curve Gt, of invertible operators in X: q(t) = Gtq(0)G−1 t , t ∈ I. This is done by using the transport equation of the Grassmannian manifold, introduced by Corach, Porta and Recht. We apply this result to the case when the idempotents are conditional expectations of a C∗ algebra A onto a field of C∗-subalgebras Bt ⊂ A. In this case the invertible operators, restricted to B0, induce C∗-isomorphisms between B0 and Bt. We examine the regularity condition imposed on the curve of expectations, in the case when these expectations are induced by discrete decompositions of a Hilbert space (also called systems of projectors in the literature).
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Curves of Idempotents
dc.subject
Projections
dc.subject
Conditional Expectations
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Strongly smooth paths of idempotents
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-07-12T13:19:04Z
dc.journal.volume
378
dc.journal.number
1
dc.journal.pagination
252-267
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Andruchow, Esteban. Universidad Nacional de General Sarmiento; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina
dc.journal.title
Journal Of Mathematical Analysis And Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0022247X1000644X
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2010.08.010


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