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dc.contributor.author
Achour, Dahmane
dc.contributor.author
Dahia, Elhadj
dc.contributor.author
Turco, Pablo Alejandro
dc.date.available
2021-10-19T16:27:54Z
dc.date.issued
2020-03
dc.identifier.citation
Achour, Dahmane; Dahia, Elhadj; Turco, Pablo Alejandro; The Lipschitz injective hull of Lipschitz operator ideals and applications; Banach Mathematical Research Group; Banach Journal Of Mathematical Analysis; 14; 3; 3-2020; 1241-1257
dc.identifier.issn
2662-2033
dc.identifier.uri
http://hdl.handle.net/11336/144307
dc.description.abstract
We introduce and study the Lipschitz injective hull of Lipschitz operator ideals defined between metric spaces. We show some properties and apply the results to the ideal of Lipschitz p-nuclear operators, obtaining the ideal of Lipschitz quasi p-nuclear operators. Also, we introduce in a natural way the ideal of Lipschitz Pietsch p-integral operators and show that its Lipschitz injective hull coincide with the ideal of Lipschitz p-summing operators defined by Farmer and Johnson. Finally, we consider both ideals as Lipschitz operator ideals between a metric space and a Banach space, showing that these ideals are not of composition type. Their maximal hull and minimal kernel are also studied.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Banach Mathematical Research Group
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
INJECTIVE HULL OF OPERATOR IDEALS
dc.subject
LIPSCHITZ OPERATOR IDEALS
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QUASI P-NUCLEAR OPERATORS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
The Lipschitz injective hull of Lipschitz operator ideals and applications
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-09-07T18:42:26Z
dc.identifier.eissn
1735-8787
dc.journal.volume
14
dc.journal.number
3
dc.journal.pagination
1241-1257
dc.journal.pais
Suiza
dc.description.fil
Fil: Achour, Dahmane. University of M’sila; Argelia
dc.description.fil
Fil: Dahia, Elhadj. University of M’sila; Argelia
dc.description.fil
Fil: Turco, Pablo Alejandro. 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
dc.journal.title
Banach Journal Of Mathematical Analysis
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s43037-020-00060-3
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s43037-020-00060-3
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