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dc.contributor.author
Antezana, Jorge Abel
dc.contributor.author
Cano, Cristina
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Mosconi, Irene
dc.contributor.author
Stojanoff, Demetrio
dc.date.available
2020-03-12T20:06:37Z
dc.date.issued
2010-04
dc.identifier.citation
Antezana, Jorge Abel; Cano, Cristina; Mosconi, Irene; Stojanoff, Demetrio; A note on the star order in Hilbert spaces; Taylor & Francis Ltd; Linear And Multilinear Algebra; 58; 8; 4-2010; 1037-1051
dc.identifier.issn
0308-1087
dc.identifier.uri
http://hdl.handle.net/11336/99355
dc.description.abstract
We study the star order on the algebra L(H) of bounded operators on a Hilbert space H. We present a new interpretation of this order which allows to generalize to this setting many known results for matrices: functional calculus, semi-lattice properties, shorted operators and orthogonal decompositions. We also show several properties for general Hilbert spaces regarding the star order and its relationship with the functional calculus and the polar decomposition, which were unknown even in the finitedimensional setting. We also study the existence of strong limits of starmonotone sequences and nets.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Taylor & Francis Ltd
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
FUNCTIONAL CALCULUS
dc.subject
POLAR DECOMPOSITION
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PROJECTIONS
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SEMI-LATTICE STRUCTURE
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SHORTED OPERATORS
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STAR ORDER
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Matemática Pura
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
A note on the star order in Hilbert 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
2020-02-18T16:01:53Z
dc.journal.volume
58
dc.journal.number
8
dc.journal.pagination
1037-1051
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
dc.description.fil
Fil: Antezana, Jorge Abel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Cano, Cristina. Universidad Nacional del Comahue; Argentina
dc.description.fil
Fil: Mosconi, Irene. Universidad Nacional del Comahue; Argentina
dc.description.fil
Fil: Stojanoff, Demetrio. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
dc.journal.title
Linear And Multilinear Algebra
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1080/03081080903227104
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.1080/03081080903227104
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