scientific article

zbMath0441.46014MaRDI QIDQ3882969

William B. Johnson

Publication date: 1980

Full work available at URL: http://www.numdam.org/item?id=SAF_1979-1980____A13_0

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zbMATH Keywords

Schauder basisunconditional basisapproximation propertytype and cotype of a Banach spacenot isomorphic to Hilbert spaceuniform projection a.p

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Duality and reflexivity in normed linear and Banach spaces (46B10) Tensor products in functional analysis (46M05)

Related Items (7)

The Johnson-Lindenstrauss lemma almost characterizes Hilbert space, but not quite ⋮ Banach spaces determined by their uniform structures ⋮ A WEAK HILBERT SPACE THAT IS A TWISTED HILBERT SPACE ⋮ Subspaces of \(\ell_2 (X)\) without the approximation property ⋮ The trace formula in Banach spaces ⋮ Some more twisted Hilbert spaces ⋮ Uniqueness of unconditional basis of $\ell _{2}\oplus \mathcal T^{(2)}$

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