𝐾(ℓ_{𝑝},ℓ_{𝑞}) is a Lipschitz retract of 𝐵(ℓ_{𝑝},ℓ_{𝑞})

DOI10.1090/proc/15970zbMath1501.46021OpenAlexW4226400105MaRDI QIDQ5086938

Wuyi He, Sijie Luo, Li Xing Cheng

Publication date: 8 July 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15970

zbMATH Keywords

Banach spacecompact operatorbounded linear operatorLipschitz retract

Mathematics Subject Classification ID

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

Cites Work

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• \(M\)-ideals in Banach spaces and Banach algebras
• The uniform structure of Banach spaces
• Continuous selections. I
• Pełczyński's property $V$ for spaces of compact operators
• Some properties of the injective tensor product of Banach spaces
• On nonlinear projections in Banach spaces
• Lipschitz and uniform embeddings into l_∞
• Constructing a Lipschitz retraction from ℬ(ℋ) onto 𝒦(ℋ)
• Projecting m onto c 0

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