Shorted operators and minus order
- Autores
- Contino, Maximiliano; Giribet, Juan Ignacio; Maestripieri, Alejandra Laura
- Año de publicación
- 2019
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Let H be a Hilbert space, L(H) the algebra of bounded linear operators on H and W ∈ L(H) a positive operator. Given a closed subspace S of H, we characterize the shorted operator W/S of W to S as the maximum and as the infimum of certain sets, for the minus order − ≤. Also, given A ∈ L(H) with closed range, we study the following operator approximation problem considering the minus order: min− ≤ {(AX − I) ∗W(AX − I) : X ∈ L(H), subject to N(A ∗W) ⊆ N(X)}. We show that, under certain conditions, the shorted operator of W/R(A) is the minimum of this problem and we characterize the set of solutions.
Fil: Contino, Maximiliano. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Fil: Giribet, Juan Ignacio. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Fil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina - Materia
-
06A06
47A05
47A58
47A64
MINUS ORDER
OBLIQUE PROJECTIONS
SHORTED OPERATORS - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/87430
Ver los metadatos del registro completo
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Shorted operators and minus orderContino, MaximilianoGiribet, Juan IgnacioMaestripieri, Alejandra Laura06A0647A0547A5847A64MINUS ORDEROBLIQUE PROJECTIONSSHORTED OPERATORShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let H be a Hilbert space, L(H) the algebra of bounded linear operators on H and W ∈ L(H) a positive operator. Given a closed subspace S of H, we characterize the shorted operator W/S of W to S as the maximum and as the infimum of certain sets, for the minus order − ≤. Also, given A ∈ L(H) with closed range, we study the following operator approximation problem considering the minus order: min− ≤ {(AX − I) ∗W(AX − I) : X ∈ L(H), subject to N(A ∗W) ⊆ N(X)}. We show that, under certain conditions, the shorted operator of W/R(A) is the minimum of this problem and we characterize the set of solutions.Fil: Contino, Maximiliano. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Giribet, Juan Ignacio. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; ArgentinaTaylor & Francis Ltd2019-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/87430Contino, Maximiliano; Giribet, Juan Ignacio; Maestripieri, Alejandra Laura; Shorted operators and minus order; Taylor & Francis Ltd; Linear And Multilinear Algebra; 67; 11; 11-2019; 2173-21900308-1087CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1080/03081087.2018.1484872info:eu-repo/semantics/altIdentifier/doi/10.1080/03081087.2018.1484872info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1802.01973info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:44:54Zoai:ri.conicet.gov.ar:11336/87430instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:44:55.069CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Shorted operators and minus order |
| title |
Shorted operators and minus order |
| spellingShingle |
Shorted operators and minus order Contino, Maximiliano 06A06 47A05 47A58 47A64 MINUS ORDER OBLIQUE PROJECTIONS SHORTED OPERATORS |
| title_short |
Shorted operators and minus order |
| title_full |
Shorted operators and minus order |
| title_fullStr |
Shorted operators and minus order |
| title_full_unstemmed |
Shorted operators and minus order |
| title_sort |
Shorted operators and minus order |
| dc.creator.none.fl_str_mv |
Contino, Maximiliano Giribet, Juan Ignacio Maestripieri, Alejandra Laura |
| author |
Contino, Maximiliano |
| author_facet |
Contino, Maximiliano Giribet, Juan Ignacio Maestripieri, Alejandra Laura |
| author_role |
author |
| author2 |
Giribet, Juan Ignacio Maestripieri, Alejandra Laura |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
06A06 47A05 47A58 47A64 MINUS ORDER OBLIQUE PROJECTIONS SHORTED OPERATORS |
| topic |
06A06 47A05 47A58 47A64 MINUS ORDER OBLIQUE PROJECTIONS SHORTED OPERATORS |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
Let H be a Hilbert space, L(H) the algebra of bounded linear operators on H and W ∈ L(H) a positive operator. Given a closed subspace S of H, we characterize the shorted operator W/S of W to S as the maximum and as the infimum of certain sets, for the minus order − ≤. Also, given A ∈ L(H) with closed range, we study the following operator approximation problem considering the minus order: min− ≤ {(AX − I) ∗W(AX − I) : X ∈ L(H), subject to N(A ∗W) ⊆ N(X)}. We show that, under certain conditions, the shorted operator of W/R(A) is the minimum of this problem and we characterize the set of solutions. Fil: Contino, Maximiliano. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina Fil: Giribet, Juan Ignacio. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina Fil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina |
| description |
Let H be a Hilbert space, L(H) the algebra of bounded linear operators on H and W ∈ L(H) a positive operator. Given a closed subspace S of H, we characterize the shorted operator W/S of W to S as the maximum and as the infimum of certain sets, for the minus order − ≤. Also, given A ∈ L(H) with closed range, we study the following operator approximation problem considering the minus order: min− ≤ {(AX − I) ∗W(AX − I) : X ∈ L(H), subject to N(A ∗W) ⊆ N(X)}. We show that, under certain conditions, the shorted operator of W/R(A) is the minimum of this problem and we characterize the set of solutions. |
| publishDate |
2019 |
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2019-11 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://hdl.handle.net/11336/87430 Contino, Maximiliano; Giribet, Juan Ignacio; Maestripieri, Alejandra Laura; Shorted operators and minus order; Taylor & Francis Ltd; Linear And Multilinear Algebra; 67; 11; 11-2019; 2173-2190 0308-1087 CONICET Digital CONICET |
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http://hdl.handle.net/11336/87430 |
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Contino, Maximiliano; Giribet, Juan Ignacio; Maestripieri, Alejandra Laura; Shorted operators and minus order; Taylor & Francis Ltd; Linear And Multilinear Algebra; 67; 11; 11-2019; 2173-2190 0308-1087 CONICET Digital CONICET |
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eng |
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eng |
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