Weakly null sequences with an unconditional subsequence

DOI10.1090/S0002-9939-05-07948-7zbMath1086.46009OpenAlexW1527834921MaRDI QIDQ5695744

A. D. Arvanitakis

Publication date: 6 October 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07948-7

zbMATH Keywords

uniform boundednessunconditional basic sequenceweakly null sequence

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

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Cites Work

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• Positional graphs and conditional structure of weakly null sequences
• Convex unconditionality and summability of weakly null sequences
• A new proof that analytic sets are Ramsey
• Normalized weakly null sequence with no unconditional subsequence
• Borel sets and Ramsey's theorem
• Every analytic set is Ramsey