Three-space problems for the approximation property

DOI10.4171/JEMS/150zbMath1171.46017MaRDI QIDQ1012480

J. Martínez

Publication date: 21 April 2009

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=1435-9855&vol=11&iss=2&rank=3

zbMATH Keywords

approximation propertyreflexive spaces\(\ell_p\)-spacesEnflo-Davie constructionKashin decomposition

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Spaces of operators; tensor products; approximation properties (46B28)

Related Items

The Lidskii trace property and the nest approximation property in Banach spaces, On the bounded approximation property in Banach spaces, Type, cotype and twisted sums induced by complex interpolation, Three-space problems for the bounded compact approximation property, Some approximation properties of Banach spaces and Banach lattices, On the bounded approximation property on subspaces of \(\ell_p\) when \(0 < p < 1\) and related issues, Uniform factorization for \(p\)-compact sets of \(p\)-compact linear operators

Cites Work

• Some approximation properties of Banach spaces and Banach lattices
• A note on Banach spaces containing \(c_ 0\) or \(C_{\infty}\)
• Special orthogonal splittings of \(L_1^{2k}\)
• On James's paper 'Separable conjugate spaces'
• On ω*-basic sequences and their applications to the study of Banach spaces
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