Asymptotically isometric copies of \(c_0\) in Banach spaces

DOI10.1006/jmaa.1997.5820zbMath0916.46007OpenAlexW1971330242MaRDI QIDQ1269669

Barry Turett, C. J. Lennard, Patrick N. Dowling

Publication date: 29 November 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5820

zbMATH Keywords

asymptotically isometric copy of \(c_0\)

Mathematics Subject Classification ID

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

Related Items (16)

Renormings of \(c_{0}\) and the fixed point property ⋮ Two properties of Müntz spaces ⋮ Spaces of compact operators on Hilbert space with the fixed point property ⋮ Asymptotically isometric copies of \(c_{0}\) and \(l^{1}\) in certain Banach spaces. ⋮ The fixed point property in \(c_0\) with an equivalent norm ⋮ A Large Class of Non-weakly Compact Subsets in a Renorming of $$c_0$$ with FPP ⋮ Isometric copies of \(c_0\) and \(\ell^{\infty}\) in duals of Banach spaces ⋮ Asymptotically isometric copies of $\ell^{1\boxplus 0}$ ⋮ Order asymptotically isometric copies of \(l^{\infty}\), \(l^{1}\) and \(c_{0}\) in Banach function spaces ⋮ Renormings of \(c_{0}\) and the minimal displacement problem ⋮ Failure of the FPP inside an asymptotically isometric-free copy of \(c_{0}\) ⋮ Asymptotically isometric copies of \(c_0\) and \(\ell^1\) in Bochner-spaces ⋮ Fixed point properties for Lorentz sequence spaces \(\ell_{\rho,\infty}^0\) and \(\ell_{\rho,1}\) ⋮ Asymptotically isometric copies of \(c_0\) and renormings of Banach spaces ⋮ On uniformly Gâteaux smooth norms and normal structure ⋮ Asymptotically isometric copies of ℓ^{∞} in Banach spaces and a theorem of Bessaga and Pelczynski

Cites Work

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• Subspaces of \(l_ 1\) with strictly convex norm
• Reflexivity in Banach lattices
• Reflexivity and the fixed-point property for nonexpansive maps
• Uniformly non-square Banach spaces
• On Complemented Copies of c 0 in L p X , 1 ≤p < ∞
• On bases and unconditional convergence of series in Banach spaces
• C(K, E) Contains a Complemented Copy of c 0
• Complemented Copies of c 0 in Vector-Valued Hardy Spaces
• Every nonreflexive subspace of $L_1[0,1$ fails the fixed point property]
• The optimality of James’s distortion theorems

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