## 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

### Citations:

Zbl 0609.46012; Zbl 0971.46010