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Banach lattices with property \(( H )\) and weak Hilbert spaces

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Publication:1203505
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zbMath0787.46018MaRDI QIDQ1203505

N. J. Nielsen, Nicole Tomczak-Jaegermann

Publication date: 10 February 1993

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


zbMATH Keywords

Banach latticeunconditional basisproperty \((H)\)weak Hilbert space


Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Local theory of Banach spaces (46B07) Banach lattices (46B42)


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The Johnson-Lindenstrauss lemma almost characterizes Hilbert space, but not quite ⋮ Hereditary approximation property ⋮ A weak Hilbert space with few symmetries ⋮ Subspaces of \(\ell_2 (X)\) without the approximation property ⋮ An example of an asymptotically Hilbertian space which fails the approximation property ⋮ On Constructing Banach Spaces with no Unconditional Basis ⋮ Banach spaces in various positions ⋮ Some more twisted Hilbert spaces ⋮ An extremely non-homogeneous weak Hilbert space



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