Ferrando, JC.; Kakol, J.; López Pellicer, M.; Sliwa, W. (2018). On the separable quotient problem for Banach Spaces. Functiones et Approximatio Commentarii Mathematici. 59(2):153-173. https://doi.org/10.7169/facm/1704
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/147615
Title:
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On the separable quotient problem for Banach Spaces
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Author:
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Ferrando, J. C.
Kakol, Jerzy
López Pellicer, Manuel
Sliwa, Wieslaw
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Issued date:
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Abstract:
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[EN] While the classic separable quotient problem remains open, we survey general results related to this problem and examine the existence of infinite-dimensional separable quotients in some Banach spaces of vector-valued ...[+]
[EN] While the classic separable quotient problem remains open, we survey general results related to this problem and examine the existence of infinite-dimensional separable quotients in some Banach spaces of vector-valued functions, linear operators and vector measures. Most of the presented results are consequences of known facts, some of them relative to the presence of complemented copies of the classic sequence spaces c_0 and lp. Also recent results of Argyros, Dodos, Kanellopoulos [see 1 in the paper] and Sliwa [see 64 in the paper] are provided. This makes our presentation supplementary to a previous survey (1997) due to Mujica.
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Subjects:
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Banach space
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Barrelled space
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Separable quotient
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Vector-valued function space
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Linear operator space
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Vector measure space
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Tensor product
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Radon-Nikodým property.
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Copyrigths:
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Cerrado |
Source:
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Functiones et Approximatio Commentarii Mathematici. (issn:
0208-6573
)
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DOI:
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10.7169/facm/1704
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Publisher:
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Adam Mickiewicz University
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Publisher version:
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https://doi.org/10.7169/facm/1704
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Project ID:
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info:eu-repo/grantAgreement/GACR//16-34860L/
info:eu-repo/grantAgreement/GACR//67985840/
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2013%2F058/
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Thanks:
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The first three named authors were supported by Grant PROMETEO/2013/058 of the Conselleria d'Educacio, Investigacio, Cultura i Esport of Generalitat Valenciana. The second named author was also supported by GACR Project ...[+]
The first three named authors were supported by Grant PROMETEO/2013/058 of the Conselleria d'Educacio, Investigacio, Cultura i Esport of Generalitat Valenciana. The second named author was also supported by GACR Project 16-34860L and RVO: 67985840.
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Type:
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Artículo
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