The dual form of the approximation property for a Banach space and a subspace

DOI10.4064/sm8367-2-2016zbMath1368.46023arXiv1508.01212OpenAlexW2964185723MaRDI QIDQ2804304

William B. Johnson, Tadeusz Figiel

Publication date: 28 April 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01212

zbMATH Keywords

nuclear operatorsthree-space propertyapproximation property of a pair (Banach space, its subspace)

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28)

Related Items (3)

The Lidskii trace property and the nest approximation property in Banach spaces ⋮ Principle of local reflexivity respecting nests of subspaces and the nest approximation properties ⋮ On the bounded approximation property on subspaces of \(\ell_p\) when \(0 < p < 1\) and related issues

Cites Work

• On the bounded approximation property in Banach spaces
• On dual and three space problems for the compact approximation property

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