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