Additivity properties of operator ranges

Autores
Arias, Maria Laura; Corach, Gustavo; Gonzalez, María Celeste
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In the present paper we study different conditions regarding the sum of operator ranges. In particular, we find conditions on operators A, B which imply that R(A+B)=R(A)+R(B) and derive some results concerning projections.
Fil: Arias, Maria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Gonzalez, María Celeste .
Materia
Operator Ranges
Douglas' Theorem
Oblique Projections
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/3367

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spelling Additivity properties of operator rangesArias, Maria LauraCorach, GustavoGonzalez, María Celeste Operator RangesDouglas' TheoremOblique Projectionshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In the present paper we study different conditions regarding the sum of operator ranges. In particular, we find conditions on operators A, B which imply that R(A+B)=R(A)+R(B) and derive some results concerning projections.Fil: Arias, Maria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; ArgentinaFil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; ArgentinaFil: Gonzalez, María Celeste .Elsevier Science Inc2013-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/3367Arias, Maria Laura; Corach, Gustavo; Gonzalez, María Celeste ; Additivity properties of operator ranges; Elsevier Science Inc; Linear Algebra And Its Applications; 439; 12-2013; 3581-35900024-3795enginfo:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2013.09.023info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S002437951300579Xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:41:05Zoai:ri.conicet.gov.ar:11336/3367instacron: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 10:41:05.441CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Additivity properties of operator ranges
title Additivity properties of operator ranges
spellingShingle Additivity properties of operator ranges
Arias, Maria Laura
Operator Ranges
Douglas' Theorem
Oblique Projections
title_short Additivity properties of operator ranges
title_full Additivity properties of operator ranges
title_fullStr Additivity properties of operator ranges
title_full_unstemmed Additivity properties of operator ranges
title_sort Additivity properties of operator ranges
dc.creator.none.fl_str_mv Arias, Maria Laura
Corach, Gustavo
Gonzalez, María Celeste
author Arias, Maria Laura
author_facet Arias, Maria Laura
Corach, Gustavo
Gonzalez, María Celeste
author_role author
author2 Corach, Gustavo
Gonzalez, María Celeste
author2_role author
author
dc.subject.none.fl_str_mv Operator Ranges
Douglas' Theorem
Oblique Projections
topic Operator Ranges
Douglas' Theorem
Oblique Projections
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In the present paper we study different conditions regarding the sum of operator ranges. In particular, we find conditions on operators A, B which imply that R(A+B)=R(A)+R(B) and derive some results concerning projections.
Fil: Arias, Maria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Gonzalez, María Celeste .
description In the present paper we study different conditions regarding the sum of operator ranges. In particular, we find conditions on operators A, B which imply that R(A+B)=R(A)+R(B) and derive some results concerning projections.
publishDate 2013
dc.date.none.fl_str_mv 2013-12
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/11336/3367
Arias, Maria Laura; Corach, Gustavo; Gonzalez, María Celeste ; Additivity properties of operator ranges; Elsevier Science Inc; Linear Algebra And Its Applications; 439; 12-2013; 3581-3590
0024-3795
url http://hdl.handle.net/11336/3367
identifier_str_mv Arias, Maria Laura; Corach, Gustavo; Gonzalez, María Celeste ; Additivity properties of operator ranges; Elsevier Science Inc; Linear Algebra And Its Applications; 439; 12-2013; 3581-3590
0024-3795
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2013.09.023
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S002437951300579X
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Inc
publisher.none.fl_str_mv Elsevier Science Inc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv 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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