Banach spaces without minimal subspaces -- examples
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.
scientific article; zbMATH DE number 6069842
scientific article