Asymptotically isometric copies of ℓ^{∞} in Banach spaces and a theorem of Bessaga and Pelczynski

DOI10.1090/S0002-9939-00-05447-2zbMath0959.46006OpenAlexW1500880203MaRDI QIDQ4505894

Patrick N. Dowling, Narcisse Randrianantoanina

Publication date: 3 October 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05447-2

zbMATH Keywords

asymptotically isometric copycomplemented isomorphic copy

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25)

Related Items

Orthogonality in nonseparable rearrangement-invariant spaces, Asymptotically isometric copies of \(c_{0}\) and \(l^{1}\) in certain Banach spaces., Isometric copies of \(c_0\) and \(\ell^{\infty}\) in duals of Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Equivalent norms on spaces of bounded functions
• Asymptotically isometric copies of \(c_0\) in Banach spaces
• Analytic disks in fibers over the unit ball of a Banach space
• Reflexivity and the fixed-point property for nonexpansive maps
• Some fixed point results in \(\ell^1\) and \(c_0\)
• On bases and unconditional convergence of series in Banach spaces
• Every nonreflexive subspace of $L_1[0,1$ fails the fixed point property]
• Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces
• On ω*-basic sequences and their applications to the study of Banach spaces
• The optimality of James’s distortion theorems