Duality for Lipschitz \(p\)-summing operators

DOI10.1016/j.jfa.2011.03.013zbMath1234.46009OpenAlexW2036469681MaRDI QIDQ642511

Javier Alejandro Chávez-Domínguez

Publication date: 27 October 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.03.013

zbMATH Keywords

Banach spacestensor normsabsolutely summing operatorsLipschitz summing operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of linear operators; topological tensor products; approximation properties (46A32) Duality and reflexivity in normed linear and Banach spaces (46B10)

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New types of Lipschitz summing maps between metric spaces ⋮ A new approach on Lipschitz compact operators ⋮ Interpolative Lipschitz ideals ⋮ Power-aggregation of pseudometrics and the McShane-Whitney extension theorem for Lipschitz \(p\)-concave maps ⋮ Absolutely summing Lipschitz conjugates ⋮ Nonlinear variants of a theorem of Kwapień ⋮ Strongly \((p,\sigma)\)-Lipschitz operators ⋮ Abstract extrapolation theorems for absolutely summing nonlinear operators ⋮ Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals ⋮ Operators with the Lipschitz bounded approximation property ⋮ Lipschitz operator ideals and the approximation property ⋮ Lipschitz \((p,r,s)\)-integral operators and Lipschitz \((p,r,s)\)-nuclear operators ⋮ Sharp coincidences for absolutely summing multilinear operators ⋮ Some properties of Lipschitz strongly \(p\)-summing operators ⋮ Lipschitz factorization through subsets of Hilbert space ⋮ Lipschitz \(p\)-lattice summing operators ⋮ Lipschitz $(q,p)$-mixing operators ⋮ Lipschitz compact operators ⋮ Lipschitz Grothendieck-integral operators ⋮ Positively \(p\)-nuclear operators, positively \(p\)-integral operators and approximation properties

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