Norm of the sum of two orthogonal projections

Autores
Conde, Cristian Marcelo
Año de publicación
2024
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Revista con referato
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
In this note, we give a new proof of the following well-known norm formula which holds for any two orthogonal projections on a Hilbert unless This equality was proved by Duncan and Taylor (Proc R Soc Edinb Sect A 75(2):119–129, 1975). We derive this formula from the relationship between the spectra of the sum and product of any two idempotents, as well as various norm inequalities for positive operators defined on Applications of our results are given
Fuente
Banach Journal of Mathematical Analysis. May. 2024; 18(3): 1-17
https://link.springer.com/journal/43037
Materia
Proyecciones ortogonales
Desigualdades normativas
Operadores positivos
Operadores elementales
Projeções ortogonais
Desigualdades de norma
Operadores positivos
Operadores elementares
Orthogonal projections
Norm inequalities
Positive operators
Elementary operators
Matemáticas
Matemática Pura
Nivel de accesibilidad
acceso restringido
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/4.0/
Repositorio
Repositorio Institucional UNGS
Institución
Universidad Nacional de General Sarmiento
OAI Identificador
oai:repositorio.ungs.edu.ar:UNGS/2712
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oai_identifier_str oai:repositorio.ungs.edu.ar:UNGS/2712
network_acronym_str RIUNGS
repository_id_str
network_name_str Repositorio Institucional UNGS
spelling Norm of the sum of two orthogonal projectionsConde, Cristian MarceloProyecciones ortogonalesDesigualdades normativasOperadores positivosOperadores elementalesProjeções ortogonaisDesigualdades de normaOperadores positivosOperadores elementaresOrthogonal projectionsNorm inequalitiesPositive operatorsElementary operatorsMatemáticasMatemática PuraRevista con referatoFil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.In this note, we give a new proof of the following well-known norm formula which holds for any two orthogonal projections on a Hilbert unless This equality was proved by Duncan and Taylor (Proc R Soc Edinb Sect A 75(2):119–129, 1975). We derive this formula from the relationship between the spectra of the sum and product of any two idempotents, as well as various norm inequalities for positive operators defined on Applications of our results are givenBirkhauser2026-01-15T09:49:47Z2026-01-15T09:49:47Z2024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfConde, C. M. (2024). Norm of the sum of two orthogonal projections. Banach Journal of Mathematical Analysis, 18(3), 1-17.1735-8787http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2712Banach Journal of Mathematical Analysis. May. 2024; 18(3): 1-17https://link.springer.com/journal/43037reponame:Repositorio Institucional UNGSinstname:Universidad Nacional de General Sarmientoenghttp://dx.doi.org/10.1007/s43037-024-00347-9info:eu-repo/semantics/restrictedAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/2026-02-26T15:03:00Zoai:repositorio.ungs.edu.ar:UNGS/2712instacron:UNGSInstitucionalhttp://repositorio.ungs.edu.ar:8080/Universidad públicahttps://www.ungs.edu.ar/http://repositorio.ungs.edu.ar:8080/oaiubyd@campus.ungs.edu.arArgentinaopendoar:2026-02-26 15:03:00.703Repositorio Institucional UNGS - Universidad Nacional de General Sarmientofalse
dc.title.none.fl_str_mv Norm of the sum of two orthogonal projections
title Norm of the sum of two orthogonal projections
spellingShingle Norm of the sum of two orthogonal projections
Conde, Cristian Marcelo
Proyecciones ortogonales
Desigualdades normativas
Operadores positivos
Operadores elementales
Projeções ortogonais
Desigualdades de norma
Operadores positivos
Operadores elementares
Orthogonal projections
Norm inequalities
Positive operators
Elementary operators
Matemáticas
Matemática Pura
title_short Norm of the sum of two orthogonal projections
title_full Norm of the sum of two orthogonal projections
title_fullStr Norm of the sum of two orthogonal projections
title_full_unstemmed Norm of the sum of two orthogonal projections
title_sort Norm of the sum of two orthogonal projections
dc.creator.none.fl_str_mv Conde, Cristian Marcelo
author Conde, Cristian Marcelo
author_facet Conde, Cristian Marcelo
author_role author
dc.subject.none.fl_str_mv Proyecciones ortogonales
Desigualdades normativas
Operadores positivos
Operadores elementales
Projeções ortogonais
Desigualdades de norma
Operadores positivos
Operadores elementares
Orthogonal projections
Norm inequalities
Positive operators
Elementary operators
Matemáticas
Matemática Pura
topic Proyecciones ortogonales
Desigualdades normativas
Operadores positivos
Operadores elementales
Projeções ortogonais
Desigualdades de norma
Operadores positivos
Operadores elementares
Orthogonal projections
Norm inequalities
Positive operators
Elementary operators
Matemáticas
Matemática Pura
dc.description.none.fl_txt_mv Revista con referato
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
In this note, we give a new proof of the following well-known norm formula which holds for any two orthogonal projections on a Hilbert unless This equality was proved by Duncan and Taylor (Proc R Soc Edinb Sect A 75(2):119–129, 1975). We derive this formula from the relationship between the spectra of the sum and product of any two idempotents, as well as various norm inequalities for positive operators defined on Applications of our results are given
description Revista con referato
publishDate 2024
dc.date.none.fl_str_mv 2024
2026-01-15T09:49:47Z
2026-01-15T09:49:47Z
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 Conde, C. M. (2024). Norm of the sum of two orthogonal projections. Banach Journal of Mathematical Analysis, 18(3), 1-17.
1735-8787
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2712
identifier_str_mv Conde, C. M. (2024). Norm of the sum of two orthogonal projections. Banach Journal of Mathematical Analysis, 18(3), 1-17.
1735-8787
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2712
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://dx.doi.org/10.1007/s43037-024-00347-9
dc.rights.none.fl_str_mv info:eu-repo/semantics/restrictedAccess
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv restrictedAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Birkhauser
publisher.none.fl_str_mv Birkhauser
dc.source.none.fl_str_mv Banach Journal of Mathematical Analysis. May. 2024; 18(3): 1-17
https://link.springer.com/journal/43037
reponame:Repositorio Institucional UNGS
instname:Universidad Nacional de General Sarmiento
reponame_str Repositorio Institucional UNGS
collection Repositorio Institucional UNGS
instname_str Universidad Nacional de General Sarmiento
repository.name.fl_str_mv Repositorio Institucional UNGS - Universidad Nacional de General Sarmiento
repository.mail.fl_str_mv ubyd@campus.ungs.edu.ar
_version_ 1858212515917332480
score 12.665996

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