Lipschitz \(p\)-integral operators and Lipschitz \(p\)-nuclear operators

DOI10.1016/j.na.2012.04.044zbMath1263.47025OpenAlexW89341662MaRDI QIDQ435113

Ben Tuo Zheng, Dong Yang Chen

Publication date: 16 July 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.04.044

zbMATH Keywords

Lipschitz p-integral operatorsLipschitz p-nuclear operatorsLipschitz p-summing operatorsp-integral operatorsp-nuclear operatorsp-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 operators; tensor products; approximation properties (46B28)

Related Items (15)

A new approach on Lipschitz compact operators ⋮ Lipschitz integral operators represented by vector measures ⋮ Absolutely summing Lipschitz conjugates ⋮ Nonlinear variants of a theorem of Kwapień ⋮ 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 ⋮ Lipschitz \(p\)-lattice summing operators ⋮ Unnamed Item ⋮ The duality between ideals of multilinear operators and tensor norms ⋮ The Lipschitz injective hull of Lipschitz operator ideals and applications ⋮ Lipschitz compact operators ⋮ Lipschitz Grothendieck-integral operators ⋮ Positively \(p\)-nuclear operators, positively \(p\)-integral operators and approximation properties

Cites Work

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• Extensions of Lipschitz maps into Banach spaces
• On Lipschitz embedding of finite metric spaces in Hilbert space
• On nonlinear projections in Banach spaces
• Remarks on Lipschitz 𝑝-summing operators
• Non-linear factorization of linear operators
• Lipschitz $p$-summing operators
• Some applications of Ball’s extension theorem
• Absolut p-summierende Abbildungen in normierten Räumen

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