Banach spaces with many boundedly complete basic sequences failing PCP

DOI10.1016/j.jfa.2010.06.015zbMath1201.46009arXiv0902.3422OpenAlexW1998909523MaRDI QIDQ992799

Ginés López-Pérez

Publication date: 10 September 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3422

zbMATH Keywords

point of continuity propertyboundedly complete sequencessupershrinking sequences

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (1)

The point of continuity property in Banach spaces not containing \(\ell_1\)

Cites Work

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• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
• Banach spaces with a supershrinking basis
• A Characterization of Banach Spaces Containing C 0

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