On the weak topology of Banach spaces over non-Archimedean fields

DOI10.1016/J.TOPOL.2011.03.007zbMath1230.46060OpenAlexW2056209537MaRDI QIDQ549130

Wiesław Śliwa, Jerzy Kąkol

Publication date: 7 July 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.03.007

zbMATH Keywords

weak topologyBanach spaceLindelöf spaceK-analyticWCG Banach space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) General theory of locally convex spaces (46A03) Nonseparable Banach spaces (46B26) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

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Cites Work

• On the topology of simple convergence in non-Archimedean function spaces
• Espaces de Banachs faiblement K-analytiques
• On K-analytic locally convex spaces
• Espacios de Fréchet de generación débilmente compacta. (Weakly compactly generated Fréchet spaces)
• The structure of weakly compact sets in Banach spaces
• Resolutions of the identity in certain Banach spaces
• The Weak Topology of a Banach Space
• Lindelöf spaces C(X) over topological groups
• Pointwise Compactness in Spaces of Continuous Functions
• A function space C(X) which is weakly Lindelöf but not weakly compactly generated
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