Some geometric properties of lacunary Zweier sequence spaces of order \(\alpha\). (English) Zbl 1371.46006
Summary: In this paper we introduce a new sequence space using Zweier matrix operator and lacunary sequence of order \(\alpha\). Also we study some geometrical properties such as order continuous, the Fatou property and the Banach-Saks property of the new space.
MSC:
46A45 | Sequence spaces (including Köthe sequence spaces) |