Hilbert generated Banach spaces need not have a norming Markushevich basis

DOI10.1016/j.aim.2019.05.012zbMath1445.46017OpenAlexW2944935977WikidataQ127825279 ScholiaQ127825279MaRDI QIDQ2001588

Petr Hájek

Publication date: 10 July 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2019.05.012

zbMATH Keywords

Markushevich basisHilbert generated Banach spaceweakly compactly generated Banach space

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (5)

Banach spaces of continuous functions without norming Markushevich bases ⋮ Twisted sums of c ₀ ( I ) ⋮ Equilateral and separated sets in some Hilbert generated Banach spaces ⋮ Rotund Gâteaux smooth norms which are not locally uniformly rotund ⋮ An Asplund space with norming Markuševič basis that is not weakly compactly generated

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