A tensor norm preserving unconditionality for $\mathcal{L}_p$-spaces

DOI10.1090/S0002-9947-08-04428-0zbMath1159.46045WikidataQ59474366 ScholiaQ59474366MaRDI QIDQ3506718

David Pérez-García, Andreas Defant

Publication date: 17 June 2008

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

zbMATH Keywords

tensor productsunconditional basismultilinear operatorsp-summing operators

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25) Tensor products in functional analysis (46M05)

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Multiple splitting property for dominated bilinear operators ⋮ The natural rearrangement invariant structure on tensor products ⋮ Multilinear absolutely summing operators associated to a tensor norm ⋮ Traced tensor norms and multiple summing multilinear operators ⋮ Operators with the Maurey–Pietsch multiple splitting property ⋮ Almost summing and multiple almost summing multilinear operators on \(l_p\) spaces ⋮ Some techniques on nonlinear analysis and applications ⋮ On summability of nonlinear mappings: a new approach ⋮ ON THE REPRESENTATION OF MULTI-IDEALS BY TENSOR NORMS ⋮ Hilbert-Schmidt and multiple summing operators ⋮ Multiple summing, dominated and summing operators on a product of \(l_1\) spaces ⋮ A new distinguishing feature for summing, versus dominated and multiple summing operators ⋮ Multilinear variants of Maurey and Pietsch theorems and applications ⋮ Inclusions and coincidences for multiple summing multilinear mappings ⋮ Reverse inclusions for multiple summing operators ⋮ When every multilinear mapping is multiple summing ⋮ Dominated polynomials on infinite dimensional spaces ⋮ An integral formula for multiple summing norms of operators

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