Operators with the Lipschitz bounded approximation property

DOI10.1007/s11425-022-2000-yzbMath1528.46014OpenAlexW4307156648MaRDI QIDQ6174100

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Publication date: 13 July 2023

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-022-2000-y

zbMATH Keywords

bounded approximation propertyLipschitz bounded approximation propertyLipschitz frame

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Nonlinear functional analysis (46T99) Nonlinear classification of Banach spaces; nonlinear quotients (46B80)

Cites Work

• Cb-frames for operator spaces
• Lipschitz \(p\)-integral operators and Lipschitz \(p\)-nuclear operators
• Duality for Lipschitz \(p\)-summing operators
• On shrinking and boundedly complete Schauder frames of Banach spaces
• Lipschitz operator ideals and the approximation property
• A characterization of Schauder frames which are near-Schauder bases
• Lipschitz compact operators
• A complementably universal conjugate Banach space and its relation to the approximation problem
• Lipschitz $(q,p)$-mixing operators
• Remarks on Lipschitz 𝑝-summing operators
• Lipschitz $p$-summing operators
• Lipschitz Algebras
• Lipschitz-free Banach spaces
• Upper and lower estimates for Schauder frames and atomic decompositions
• Free Banach spaces and the approximation properties
• Extension of compact operators
• Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic

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