On the optimality of a theorem of Elton on \(\ell_1^n\) subsystems.

DOI10.1007/BF02772618zbMath1033.46010OpenAlexW2093829313MaRDI QIDQ5951490

Denka Kutzarova, Stephen Dilworth

Publication date: 13 March 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02772618

zbMATH Keywords

Elton's theoremsign-embedding of \(\ell^n_1\)

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Classical Banach spaces in the general theory (46B25) Probabilistic methods in Banach space theory (46B09) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (2)

An extension of Elton’s ℓ₁ⁿ theorem to complex Banach spaces ⋮ On approximate \(\ell_1\) systems in Banach spaces

Cites Work

• Sign-Embeddings of l n 1
• Probability Inequalities for Sums of Bounded Random Variables
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