Isometric copies of \(c_0\) and \(\ell^{\infty}\) in duals of Banach spaces

DOI10.1006/jmaa.2000.6714zbMath0955.46011OpenAlexW2079101354MaRDI QIDQ1973957

Patrick N. Dowling

Publication date: 28 August 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6714

zbMATH Keywords

dual Banach spacesisometric copyasymptotically isometric

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25)

Related Items (7)

Continuous transformation of Baire measures into Lebesgue measure ⋮ On complemented versions of James’s distortion theorems ⋮ Order asymptotically isometric copies of \(l^{\infty}\), \(l^{1}\) and \(c_{0}\) in Banach function spaces ⋮ Asymptotically isometric copies of \(c_0\) and \(\ell^1\) in Bochner-spaces ⋮ Further properties of Azimi-Hagler banach spaces ⋮ Problems of existence of order copies of \(\ell ^\infty\) and \(L_p(\nu )\) in some non-Banach Köthe spaces ⋮ Isometric embedding of ℓ₁ into Lipschitz-free spaces and ℓ_{∞} into their duals

Cites Work

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• Spaces of compact operators on Hilbert space with the fixed point property
• Equivalent norms on spaces of bounded functions
• Asymptotically isometric copies of \(c_0\) in Banach spaces
• Banach spaces of vector-valued functions
• Reflexivity and the fixed-point property for nonexpansive maps
• A complementably universal conjugate Banach space and its relation to the approximation problem
• On bases and unconditional convergence of series in Banach spaces
• Asymptotically isometric copies of ℓ^{∞} in Banach spaces and a theorem of Bessaga and Pelczynski

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