Geometry of the Marcinkiewicz sequence space

Autores
Boyd, Christopher; Lassalle, Silvia Beatriz
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We characterise the real extreme points of the unit ball of mΨ0, the complex extreme points of the unit ball of mΨ and the real extreme and exposed points of the unit ball of (mΨ0)′. Using these characterisations we show that, depending on the length of the extreme points, the multipliers of mΨ0 are either constant multiple of the identity or diagonal operators.
Fil: Boyd, Christopher. Universidad de Dublin; Irlanda
Fil: Lassalle, Silvia Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Universidad de San Andrés. Departamento de Matemáticas y Ciencias; Argentina
Materia
MARCINKIEWICZ SEQUENCES SPACES AND THEIR DUALS
MULTIPLIERS
REAL AND COMPLEX EXTREME POINTS
WEAK-STAR EXPOSED POINTS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/167105
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/167105
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Geometry of the Marcinkiewicz sequence spaceBoyd, ChristopherLassalle, Silvia BeatrizMARCINKIEWICZ SEQUENCES SPACES AND THEIR DUALSMULTIPLIERSREAL AND COMPLEX EXTREME POINTSWEAK-STAR EXPOSED POINTShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We characterise the real extreme points of the unit ball of mΨ0, the complex extreme points of the unit ball of mΨ and the real extreme and exposed points of the unit ball of (mΨ0)′. Using these characterisations we show that, depending on the length of the extreme points, the multipliers of mΨ0 are either constant multiple of the identity or diagonal operators.Fil: Boyd, Christopher. Universidad de Dublin; IrlandaFil: Lassalle, Silvia Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Universidad de San Andrés. Departamento de Matemáticas y Ciencias; ArgentinaSpringer2021-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/167105Boyd, Christopher; Lassalle, Silvia Beatriz; Geometry of the Marcinkiewicz sequence space; Springer; The Journal Of Geometric Analysis; 31; 5; 5-2021; 5336-53541050-69261559-002XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s12220-020-00480-5info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s12220-020-00480-5info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:05:00Zoai:ri.conicet.gov.ar:11336/167105instacron: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:34982025-10-22 12:05:00.834CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Geometry of the Marcinkiewicz sequence space
title Geometry of the Marcinkiewicz sequence space
spellingShingle Geometry of the Marcinkiewicz sequence space
Boyd, Christopher
MARCINKIEWICZ SEQUENCES SPACES AND THEIR DUALS
MULTIPLIERS
REAL AND COMPLEX EXTREME POINTS
WEAK-STAR EXPOSED POINTS
title_short Geometry of the Marcinkiewicz sequence space
title_full Geometry of the Marcinkiewicz sequence space
title_fullStr Geometry of the Marcinkiewicz sequence space
title_full_unstemmed Geometry of the Marcinkiewicz sequence space
title_sort Geometry of the Marcinkiewicz sequence space
dc.creator.none.fl_str_mv Boyd, Christopher
Lassalle, Silvia Beatriz
author Boyd, Christopher
author_facet Boyd, Christopher
Lassalle, Silvia Beatriz
author_role author
author2 Lassalle, Silvia Beatriz
author2_role author
dc.subject.none.fl_str_mv MARCINKIEWICZ SEQUENCES SPACES AND THEIR DUALS
MULTIPLIERS
REAL AND COMPLEX EXTREME POINTS
WEAK-STAR EXPOSED POINTS
topic MARCINKIEWICZ SEQUENCES SPACES AND THEIR DUALS
MULTIPLIERS
REAL AND COMPLEX EXTREME POINTS
WEAK-STAR EXPOSED POINTS
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 characterise the real extreme points of the unit ball of mΨ0, the complex extreme points of the unit ball of mΨ and the real extreme and exposed points of the unit ball of (mΨ0)′. Using these characterisations we show that, depending on the length of the extreme points, the multipliers of mΨ0 are either constant multiple of the identity or diagonal operators.
Fil: Boyd, Christopher. Universidad de Dublin; Irlanda
Fil: Lassalle, Silvia Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Universidad de San Andrés. Departamento de Matemáticas y Ciencias; Argentina
description We characterise the real extreme points of the unit ball of mΨ0, the complex extreme points of the unit ball of mΨ and the real extreme and exposed points of the unit ball of (mΨ0)′. Using these characterisations we show that, depending on the length of the extreme points, the multipliers of mΨ0 are either constant multiple of the identity or diagonal operators.
publishDate 2021
dc.date.none.fl_str_mv 2021-05
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/11336/167105
Boyd, Christopher; Lassalle, Silvia Beatriz; Geometry of the Marcinkiewicz sequence space; Springer; The Journal Of Geometric Analysis; 31; 5; 5-2021; 5336-5354
1050-6926
1559-002X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/167105
identifier_str_mv Boyd, Christopher; Lassalle, Silvia Beatriz; Geometry of the Marcinkiewicz sequence space; Springer; The Journal Of Geometric Analysis; 31; 5; 5-2021; 5336-5354
1050-6926
1559-002X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s12220-020-00480-5
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s12220-020-00480-5
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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_ 1846782402130608128
score 12.982451

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