Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula
- Autores
- Arias, Maria Laura; Corach, Gustavo; Maestripieri, Alejandra Laura
- Año de publicación
- 2014
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We say that two operators A, B have the range additivity property if R(A + B) = R(A) + R(B). In this article we study the relationship between range additivity, shorted operator and certain Hilbert space decomposition known as compatibility. As an application, we extend to infinite dimensional Hilbert space operators a formula of Fill and Fishkind related to the well-known Sherman–Morrison– Woodbury formula.
Fil: Arias, Maria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina
Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina
Fil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina - Materia
-
Aditividad de Rangos
Compatibilidad
Pseudoinversas - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/18929
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Range additivity, shorted operator and the Sherman-Morrison-Woodbury formulaArias, Maria LauraCorach, GustavoMaestripieri, Alejandra LauraAditividad de RangosCompatibilidadPseudoinversashttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We say that two operators A, B have the range additivity property if R(A + B) = R(A) + R(B). In this article we study the relationship between range additivity, shorted operator and certain Hilbert space decomposition known as compatibility. As an application, we extend to infinite dimensional Hilbert space operators a formula of Fill and Fishkind related to the well-known Sherman–Morrison– Woodbury formula.Fil: Arias, Maria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; ArgentinaFil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; ArgentinaFil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; ArgentinaElsevier2014-11-19info: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/11336/18929Arias, Maria Laura; Corach, Gustavo; Maestripieri, Alejandra Laura; Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula; Elsevier; Linear Algebra and its Applications; 467; 19-11-2014; 86-990024-3795CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2014.11.001info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0024379514007241info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1409.1958info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:50:43Zoai:ri.conicet.gov.ar:11336/18929instacron: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 09:50:43.834CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula |
title |
Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula |
spellingShingle |
Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula Arias, Maria Laura Aditividad de Rangos Compatibilidad Pseudoinversas |
title_short |
Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula |
title_full |
Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula |
title_fullStr |
Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula |
title_full_unstemmed |
Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula |
title_sort |
Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula |
dc.creator.none.fl_str_mv |
Arias, Maria Laura Corach, Gustavo Maestripieri, Alejandra Laura |
author |
Arias, Maria Laura |
author_facet |
Arias, Maria Laura Corach, Gustavo Maestripieri, Alejandra Laura |
author_role |
author |
author2 |
Corach, Gustavo Maestripieri, Alejandra Laura |
author2_role |
author author |
dc.subject.none.fl_str_mv |
Aditividad de Rangos Compatibilidad Pseudoinversas |
topic |
Aditividad de Rangos Compatibilidad Pseudoinversas |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
We say that two operators A, B have the range additivity property if R(A + B) = R(A) + R(B). In this article we study the relationship between range additivity, shorted operator and certain Hilbert space decomposition known as compatibility. As an application, we extend to infinite dimensional Hilbert space operators a formula of Fill and Fishkind related to the well-known Sherman–Morrison– Woodbury formula. Fil: Arias, Maria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina Fil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina |
description |
We say that two operators A, B have the range additivity property if R(A + B) = R(A) + R(B). In this article we study the relationship between range additivity, shorted operator and certain Hilbert space decomposition known as compatibility. As an application, we extend to infinite dimensional Hilbert space operators a formula of Fill and Fishkind related to the well-known Sherman–Morrison– Woodbury formula. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-11-19 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/18929 Arias, Maria Laura; Corach, Gustavo; Maestripieri, Alejandra Laura; Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula; Elsevier; Linear Algebra and its Applications; 467; 19-11-2014; 86-99 0024-3795 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/18929 |
identifier_str_mv |
Arias, Maria Laura; Corach, Gustavo; Maestripieri, Alejandra Laura; Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula; Elsevier; Linear Algebra and its Applications; 467; 19-11-2014; 86-99 0024-3795 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2014.11.001 info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0024379514007241 info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1409.1958 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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1844613563228880896 |
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13.070432 |