Partial isometries in semi-Hilbertian spaces

In this work, the concepts of isometry, unitary and partial isometry on a Hilbert space are generalized when an additional semi-inner product is considered. These new concepts are described by means of oblique projections.

Bibliographic Details
Authors: Arias, Maria Laura, Corach, Gustavo, Gonzalez, Maria Celeste
Format: article
Status:Published version
Publication Date:2008
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/93046
Online Access:http://hdl.handle.net/11336/93046
Access Level:Open access
Keyword:COMPATIBILITY
PARTIAL ISOMETRIES
PROJECTIONS
SEMI-INNER PRODUCTS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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oai_identifier_str oai:ri.conicet.gov.ar:11336/93046
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repository_id_str
spelling Partial isometries in semi-Hilbertian spacesArias, Maria LauraCorach, GustavoGonzalez, Maria CelesteCOMPATIBILITYPARTIAL ISOMETRIESPROJECTIONSSEMI-INNER PRODUCTShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this work, the concepts of isometry, unitary and partial isometry on a Hilbert space are generalized when an additional semi-inner product is considered. These new concepts are described by means of oblique projections.Fil: Arias, Maria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Gonzalez, Maria Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaElsevier Science Inc2008-04info: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/11336/93046Arias, Maria Laura; Corach, Gustavo; Gonzalez, Maria Celeste; Partial isometries in semi-Hilbertian spaces; Elsevier Science Inc; Linear Algebra and its Applications; 428; 7; 4-2008; 1460-14750024-3795CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2007.09.031info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0024379507004417info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:22:20Zoai:ri.conicet.gov.ar:11336/93046instacron: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:34982024-05-08 14:22:21.316CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Partial isometries in semi-Hilbertian spaces
title Partial isometries in semi-Hilbertian spaces
spellingShingle Partial isometries in semi-Hilbertian spaces
Arias, Maria Laura
COMPATIBILITY
PARTIAL ISOMETRIES
PROJECTIONS
SEMI-INNER PRODUCTS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short Partial isometries in semi-Hilbertian spaces
title_full Partial isometries in semi-Hilbertian spaces
title_fullStr Partial isometries in semi-Hilbertian spaces
title_full_unstemmed Partial isometries in semi-Hilbertian spaces
title_sort Partial isometries in semi-Hilbertian spaces
dc.creator.none.fl_str_mv Arias, Maria Laura
Corach, Gustavo
Gonzalez, Maria Celeste
author Arias, Maria Laura
author_facet Arias, Maria Laura
Corach, Gustavo
Gonzalez, Maria Celeste
author_role author
author2 Corach, Gustavo
Gonzalez, Maria Celeste
author2_role author
author
dc.subject.none.fl_str_mv COMPATIBILITY
PARTIAL ISOMETRIES
PROJECTIONS
SEMI-INNER PRODUCTS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic COMPATIBILITY
PARTIAL ISOMETRIES
PROJECTIONS
SEMI-INNER PRODUCTS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description In this work, the concepts of isometry, unitary and partial isometry on a Hilbert space are generalized when an additional semi-inner product is considered. These new concepts are described by means of oblique projections.
publishDate 2008
dc.date.none.fl_str_mv 2008-04
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/11336/93046
Arias, Maria Laura; Corach, Gustavo; Gonzalez, Maria Celeste; Partial isometries in semi-Hilbertian spaces; Elsevier Science Inc; Linear Algebra and its Applications; 428; 7; 4-2008; 1460-1475
0024-3795
CONICET Digital
CONICET
url http://hdl.handle.net/11336/93046
identifier_str_mv Arias, Maria Laura; Corach, Gustavo; Gonzalez, Maria Celeste; Partial isometries in semi-Hilbertian spaces; Elsevier Science Inc; Linear Algebra and its Applications; 428; 7; 4-2008; 1460-1475
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.2007.09.031
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0024379507004417
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
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
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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_ 1799196301906149376
score 15.812455

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