Lipschitz operator ideals and the approximation property

DOI10.1016/j.jmaa.2015.11.050zbMath1409.47003OpenAlexW2187565332MaRDI QIDQ905951

R. Yahi, Pilar Rueda, Enrique Alfonso Sánchez-Pérez, Dahmane Achour

Publication date: 28 January 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.050

zbMATH Keywords

approximation propertyLipschitz mappingLipschitz absolutely summing operatorsLipschitz operator ideal

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28) Operator ideals (47L20)

Related Items (18)

Interpolative Lipschitz ideals ⋮ Lipschitz integral operators represented by vector measures ⋮ Absolutely summing Lipschitz conjugates ⋮ Approximation properties in terms of Lipschitz maps ⋮ Germs of operator and polynomial ideals with applications to composition operators ⋮ Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals ⋮ Some results on approximation properties of Lipschitz maps ⋮ Operators with the Lipschitz bounded approximation property ⋮ On composition ideals and dual ideals of bounded holomorphic mappings ⋮ Lipschitz \((p,r,s)\)-integral operators and Lipschitz \((p,r,s)\)-nuclear operators ⋮ Two-Lipschitz operator ideals ⋮ Nuclear pseudo-differential operators in Besov spaces on compact Lie groups ⋮ Ideals of polynomials between Banach spaces revisited ⋮ The duality between ideals of multilinear operators and tensor norms ⋮ The Lipschitz bounded approximation property for operator ideals ⋮ Multilinear mixing operators and Lipschitz mixing operator ideals ⋮ Lipschitz \(p\)-compact mappings ⋮ The Lipschitz injective hull of Lipschitz operator ideals and applications

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