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A new class of Banach sequence spaces. (English) Zbl 1035.46006

The author continues investigating his \(X_{\alpha, p}\) spaces which are \(l_p\)-versions of the hereditarily-\(l_1\) space failing the Schur property, considered in P. Azimi and J. Hagler [Pac. J. Math. 122, 287–297 (1986; Zbl 0609.46012)]. The main result of the paper was announced in P. Azimi [Tangmanee, E. (ed.) et al., Proceedings of the second Asian mathematical conference 1995, Nakhon Ratchasima, Thailand, 1995. Singapore: World Scientific, 1–4 (1998; Zbl 0971.46010)].

MSC:

46B04 Isometric theory of Banach spaces
46B20 Geometry and structure of normed linear spaces
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