Norming subspaces isomorphic to \(\ell_1\)

DOI10.1007/S10114-015-4123-XzbMath1341.46008OpenAlexW2106539395MaRDI QIDQ2353239

Sofiya Ostrovska

Publication date: 8 July 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-4123-x

zbMATH Keywords

Banach spacedual spacenorming subspacefree ultrafilterweak\(^\ast\) convergence

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Duality and reflexivity in normed linear and Banach spaces (46B10)

Cites Work

• Banach spaces whose duals contain norming nonbasic subspaces
• Weak sequential convergence in the dual of a Banach space does not imply norm convergence
• \(w^*\) sequential convergence
• On Banach spaces whose dual balls are not weak\(^*\) sequentially compact
• Sur un théorème de Banach
• On Total Nonnorming Subspaces
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