\(\epsilon\)-weak Cauchy sequences and a quantitative version of Rosenthal's \(\ell_1\)-theorem

DOI10.1016/j.jmaa.2015.09.079zbMath1342.46019OpenAlexW1855315916MaRDI QIDQ891385

Ioannis Gasparis

Publication date: 17 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.09.079

zbMATH Keywords

Ramsey theoremRosenthal's \(\ell^1\)-theoremweak Cauchy sequence

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (1)

$\varepsilon $-weakly precompact sets in Banach spaces

Cites Work

• On \(c_ 0\) sequences in Banach spaces
• Convex unconditionality and summability of weakly null sequences
• A new proof that analytic sets are Ramsey
• Shorter Notes: On Sequences Spanning a Complex l 1 Space
• Borel sets and Ramsey's theorem
• A dichotomy theorem for subsets of the power set of the natural numbers
• Shorter Notes: Weak Convergence of Bounded Sequences
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