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A quantitative approach to weak compactness in Fréchet spaces and spaces C(X)

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A quantitative approach to weak compactness in Fréchet spaces and spaces C(X)

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Angosto Hernández, C.; Kakol, JM.; López Pellicer, M. (2013). A quantitative approach to weak compactness in Fréchet spaces and spaces C(X). Journal of Mathematical Analysis and Applications. 403(1):13-22. doi:10.1016/j.jmaa.2013.01.055

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/75351

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Title: A quantitative approach to weak compactness in Fréchet spaces and spaces C(X)
Author:
UPV Unit: Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería Agronómica y del Medio Natural - Escola Tècnica Superior d'Enginyeria Agronòmica i del Medi Natural
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Abstract:
[EN] Let E be a Frechet space, i.e. a metrizable and complete locally convex space (lcs), E '' its strong second dual with a defining sequence of seminorms parallel to center dot parallel to(n) induced by a decreasing basis ...[+]


[ES] Se obtienen medidas que caracterizan cuantitativamente la compacidad débil en espacios de Fréchet. De estas medidas se deducen pruebas muy sencillas de resultados de compacidad en espacios de Fréchet, extendiendo ...[+]
Subjects: Angelicity , Compact space , Countably compact , C(X) , Fréchet space , Web compact space
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Journal of Mathematical Analysis and Applications. (issn: 0022-247X )
DOI: 10.1016/j.jmaa.2013.01.055
Publisher:
Elsevier
Publisher version: https://dx.doi.org/10.1016/j.jmaa.2013.01.055
Thanks:
The research was supported for the first named author by the project MTM2008-05396 of the Spanish Ministry of Science and Innovation and by Fundacion Seneca (CARM), grant 08848/PI/08, for the second named author by National ...[+]
Type: Artículo

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