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Compactness in Banach space theory —selected problems

Compacidad en espacios de Banach —problemas escogidos

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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Aims and scope Submit manuscript

Abstract

We list a number of problems in several topics related to compactness in nonseparable Banach spaces. Namely, about the Hilbertian ball in its weak topology, spaces of continuous functions on Eberlein compacta, WCG Banach spaces, Valdivia compacta and Radon-Nikodým compacta.

Resumen

Enumeramos una serie de problemas en diferentes temas relacionados con compacidad en espacios de Banach no separables. Concretamente, sobra la bola euclídea en su topología débil, espacios de funciones continuas en compactos de Eberlein, espacios de Banach débilmente compactamente generados, compactos de Valdivia y compactos de Radon-Nikodým.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100, Murcia, Spain

    Antonio Avilés

  2. Department of Mathematical Analysis Faculty of Mathematics and Physic, Charles University, Sokolovská 83, 186 75, Praha 8, Czech Republic

    Ondřej F. K. Kalenda

Authors
  1. Antonio Avilés
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  2. Ondřej F. K. Kalenda
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Correspondence to Antonio Avilés.

Additional information

Dedicated to Professor Manuel Valdivia on the occasion of his 80th birthday

Submitted by Stanimir Troyankski

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Avilés, A., Kalenda, O.F.K. Compactness in Banach space theory —selected problems. RACSAM 104, 337–352 (2010). https://doi.org/10.5052/RACSAM.2010.21

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  • DOI: https://doi.org/10.5052/RACSAM.2010.21

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