UNEXPECTED SUBSPACES OF TENSOR PRODUCTS

DOI10.1112/S0024610706023118zbMath1122.46008OpenAlexW2171423947WikidataQ59474389 ScholiaQ59474389MaRDI QIDQ3419087

Félix Cabello Sánchez, Ignacio Villanueva, David Pérez-García

Publication date: 6 February 2007

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

Full work available at URL: https://doi.org/10.1112/s0024610706023118

zbMATH Keywords

tensor productsDunford-Pettis propertyuniform approximation propertycomplemented subspaces\(\ell_p\) spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Spaces of operators; tensor products; approximation properties (46B28) Linear spaces of operators (47L05) Tensor products in functional analysis (46M05)

Related Items (9)

Hahn-Banach extension of multilinear forms and summability ⋮ Copies of $c_0(\tau )$ spaces in projective tensor products ⋮ Solution to a problem of Diestel ⋮ On injective tensor powers of \(\ell_1\) ⋮ Complemented subspaces of spaces of multilinear forms and tensor products. II. Noncommutative \(L_p\) spaces ⋮ Complemented copies of ℓp spaces in tensor products ⋮ Complemented copies of \(c_0( \tau )\) in tensor products of \(L_p[0,1\)] ⋮ Towards a maximal extension of Pełczyński's decomposition method in Banach spaces ⋮ Geometry of integral polynomials, \(M\)-ideals and unique norm preserving extensions

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