A note on the differentiable structure of generalized idempotents

Autores
Andruchow, Esteban; Corach, Gustavo; Mbekhta, Mostafa
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
For a fixed n > 2, we study the set of generalized idempotents, which are operators satisfying Tn+1 = T. Also the subsets † , of operators such that Tn−1 is the Moore–Penrose pseudo-inverse of T, and , of operators such that Tn−1 = T (known as generalized projections) are studied. The local smooth structure of these sets is examined.
Fil: Andruchow, Esteban. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Mbekhta, Mostafa. Univesité of Lillé 1; Francia
Materia
Idempotent
Moore Penrose Inverse
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:11336/3337
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/3337
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network_name_str CONICET Digital (CONICET)
spelling A note on the differentiable structure of generalized idempotentsAndruchow, EstebanCorach, GustavoMbekhta, MostafaIdempotentMoore Penrose Inversehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1For a fixed n > 2, we study the set of generalized idempotents, which are operators satisfying Tn+1 = T. Also the subsets † , of operators such that Tn−1 is the Moore–Penrose pseudo-inverse of T, and , of operators such that Tn−1 = T (known as generalized projections) are studied. The local smooth structure of these sets is examined.Fil: Andruchow, Esteban. Universidad Nacional de General Sarmiento. Instituto de Ciencias; ArgentinaFil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; ArgentinaFil: Mbekhta, Mostafa. Univesité of Lillé 1; FranciaVersita2013-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/3337Andruchow, Esteban; Corach, Gustavo; Mbekhta, Mostafa; A note on the differentiable structure of generalized idempotents; Versita; Central European Journal Of Mathematics - (print); 11; 6; 2-2013; 1004-10191895-1074enginfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.2478/s11533-013-0230-zinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:48:26Zoai:ri.conicet.gov.ar:11336/3337instacron: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 09:48:27.138CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A note on the differentiable structure of generalized idempotents
title A note on the differentiable structure of generalized idempotents
spellingShingle A note on the differentiable structure of generalized idempotents
Andruchow, Esteban
Idempotent
Moore Penrose Inverse
title_short A note on the differentiable structure of generalized idempotents
title_full A note on the differentiable structure of generalized idempotents
title_fullStr A note on the differentiable structure of generalized idempotents
title_full_unstemmed A note on the differentiable structure of generalized idempotents
title_sort A note on the differentiable structure of generalized idempotents
dc.creator.none.fl_str_mv Andruchow, Esteban
Corach, Gustavo
Mbekhta, Mostafa
author Andruchow, Esteban
author_facet Andruchow, Esteban
Corach, Gustavo
Mbekhta, Mostafa
author_role author
author2 Corach, Gustavo
Mbekhta, Mostafa
author2_role author
author
dc.subject.none.fl_str_mv Idempotent
Moore Penrose Inverse
topic Idempotent
Moore Penrose Inverse
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv For a fixed n > 2, we study the set of generalized idempotents, which are operators satisfying Tn+1 = T. Also the subsets † , of operators such that Tn−1 is the Moore–Penrose pseudo-inverse of T, and , of operators such that Tn−1 = T (known as generalized projections) are studied. The local smooth structure of these sets is examined.
Fil: Andruchow, Esteban. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Mbekhta, Mostafa. Univesité of Lillé 1; Francia
description For a fixed n > 2, we study the set of generalized idempotents, which are operators satisfying Tn+1 = T. Also the subsets † , of operators such that Tn−1 is the Moore–Penrose pseudo-inverse of T, and , of operators such that Tn−1 = T (known as generalized projections) are studied. The local smooth structure of these sets is examined.
publishDate 2013
dc.date.none.fl_str_mv 2013-02
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/11336/3337
Andruchow, Esteban; Corach, Gustavo; Mbekhta, Mostafa; A note on the differentiable structure of generalized idempotents; Versita; Central European Journal Of Mathematics - (print); 11; 6; 2-2013; 1004-1019
1895-1074
url http://hdl.handle.net/11336/3337
identifier_str_mv Andruchow, Esteban; Corach, Gustavo; Mbekhta, Mostafa; A note on the differentiable structure of generalized idempotents; Versita; Central European Journal Of Mathematics - (print); 11; 6; 2-2013; 1004-1019
1895-1074
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.2478/s11533-013-0230-z
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 Versita
publisher.none.fl_str_mv Versita
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
_version_ 1844613505129381888
score 13.070432

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