Retractions and the bounded approximation property in Banach spaces

DOI10.1007/s00009-023-02270-zOpenAlexW4317659936MaRDI QIDQ2684836

Yanyan Li

Publication date: 17 February 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.08085

zbMATH Keywords

Banach spacesapproximation propertiesLipschitz retractionsGCCR

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Nonlinear classification of Banach spaces; nonlinear quotients (46B80)

Related Items (1)

Compact Hölder retractions and nearest point maps

Cites Work

• Bourgain's discretization theorem
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Eigenvalues of \(p\)-summing and \(\ell_p\)-type operators in Banach spaces
• A remark on almost extensions of Lipschitz functions
• A counterexample to the approximation problem in Banach spaces
• Banach space theory. The basis for linear and nonlinear analysis
• A survey on Lipschitz-free Banach Spaces
• Lipschitz approximable Banach spaces
• Pełczyński space is isomorphic to the Lipschitz free space over a compact set
• Free Banach spaces and the approximation properties
• Compact retractions and Schauder decompositions in Banach spaces
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