Hereditary approximation property

DOI10.4007/annals.2012.176.3.10zbMath1272.46012OpenAlexW2146771470MaRDI QIDQ1928620

Andrzej Szankowski, William B. Johnson

Publication date: 3 January 2013

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2012.176.3.10

zbMATH Keywords

Banach spacestrace formulahereditary approximation propertyasymptotically Hilbertian spaceshereditary uniform approximation property

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Classical Banach spaces in the general theory (46B25) 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

The Lidskii trace property and the nest approximation property in Banach spaces, Local Banach-space dichotomies and ergodic spaces, The Rochberg garden, Subspaces of \(\ell_2 (X)\) without the approximation property, The trace formula in Banach spaces, Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue spaces, On uniformly finitely extensible Banach spaces, Ideal topologies and corresponding approximation properties, Non-ergodic Banach spaces are near Hilbert, Some more twisted Hilbert spaces

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