Asymptotic structure and the existence of noncompact operators between Banach spaces

DOI10.1016/J.JFA.2007.08.015zbMath1144.46008OpenAlexW2160337295MaRDI QIDQ2466520

Mikhail M. Popov, Olexandr V. Maslyuchenko, Volodymyr V. Mykhaylyuk

Publication date: 15 January 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.08.015

zbMATH Keywords

Pitt's theorem\(n\)-th asymptotic structureasymptotic \(\ell_p\) spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Local theory of Banach spaces (46B07) Isomorphic theory (including renorming) of Banach spaces (46B03) Compactness in Banach (or normed) spaces (46B50) Linear spaces of operators (47L05)

Cites Work

• Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
• A universal reflexive space for the class of uniformly convex Banach spaces
• On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from \(L^{p}(\mu)\) to \(L^{r}(\nu)\)
• Trees and branches in Banach spaces
• Envelope functions and asymptotic structures in Banach spaces
• On asymptotically symmetric Banach spaces
• A Note on Bilinear Forms
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