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dc.contributor.author
Lassalle, Silvia Beatriz
dc.contributor.author
Turco, Pablo Alejandro
dc.date.available
2018-08-15T11:13:47Z
dc.date.issued
2017-10
dc.identifier.citation
Lassalle, Silvia Beatriz; Turco, Pablo Alejandro; On null sequences for Banach operator ideals, trace duality and approximation properties; Wiley VCH Verlag; Mathematische Nachrichten; 290; 14-15; 10-2017; 2308-2321
dc.identifier.issn
0025-584X
dc.identifier.uri
http://hdl.handle.net/11336/55551
dc.description.abstract
Let A be a Banach operator ideal and X be a Banach space. We undertake the study of the vector space of A-null sequences of Carl and Stephani on X, c0,A(X), from a unified point of view after we introduce a norm which makes it a Banach space. To give accurate results we consider local versions of the different types of accessibility of Banach operator ideals. We show that in the most common situations, when A is right-accessible for (ℓ1;X),c0,A(X) behaves much alike c0(X). When this is the case we give a geometric tensor product representation of c0,A(X). On the other hand, we show an example where the representation fails. Also, via a trace duality formula, we characterize the dual space of c0,A(X). We apply our results to study some problems related with the KA -approximation property giving a trace condition which is used to solve the remaining case (p=1) of a problem posed by Kim (2015). Namely, we prove that if a dual space has the K1 -approximation property then the space has the Ku,1 -approximation property.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Wiley VCH Verlag
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
46b45; Secondary: 46b28
dc.subject
46b50
dc.subject
Approximation Properties
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Compact Sets
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Null Sequences
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Operator Ideals
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Primary: 46b04
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On null sequences for Banach operator ideals, trace duality and approximation properties
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-08-14T13:57:54Z
dc.journal.volume
290
dc.journal.number
14-15
dc.journal.pagination
2308-2321
dc.journal.pais
Alemania
dc.journal.ciudad
Weinheim
dc.description.fil
Fil: Lassalle, Silvia Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
dc.description.fil
Fil: Turco, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
dc.journal.title
Mathematische Nachrichten
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.201600273
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1002/mana.201600273
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