Banach spaces without minimal subspaces -- examples (Q441302)
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scientific article; zbMATH DE number 6069842
| Language | Label | Description | Also known as |
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| English | Banach spaces without minimal subspaces -- examples |
scientific article; zbMATH DE number 6069842 |
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Banach spaces without minimal subspaces -- examples (English)
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22 August 2012
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As a consequence of several dichotomies, there is a chart of 19 inevitable classes (derived from \textit{V. Ferenczi} and \textit{C. Rosendal} [J. Funct. Anal. 257, No. 1, 149--193 (2009; Zbl 1181.46004)]) so that any infinite-dimensional Banach space contains a subspace of one of these classes. This interesting paper presents several new examples of Banach spaces corresponding to these classes. The final section contains various challenging open problems; for instance, to find the exact position of Argyros-Haydon's famous space in the aforementioned chart.
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classification of Banach spaces
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dichotomies
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tight Banach spaces
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