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Compactness in Banach space theory —selected problems

  • Antonio Avilés
  • Ondřej F. K. Kalenda
Article

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.

Keywords

Hilbertian ball euclidean ball Eberlein compact uniform Eberlein compact discontinuous norms weakly compactly generated space Valdivia compact Radon-Nikodym compact 

Mathematics Subject Classifications

46B26 54D30 

Compacidad en espacios de Banach —problemas escogidos

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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Copyright information

© Springer 2010

Authors and Affiliations

  1. 1.Departamento de MatemáticasUniversidad de MurciaMurciaSpain
  2. 2.Department of Mathematical Analysis Faculty of Mathematics and PhysicCharles UniversityPraha 8Czech Republic

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