On some geometrical properties of certain vector-valued sequence spaces
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Date
2010
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info:eu-repo/semantics/closedAccess
Abstract
In this paper, we introduce the generalized Cesáro vector-valued sequence space ces(X, pn, qn) equipped with the Luxemburg norm. Further, we show some topological properties of this space with respect to the Luxemburg norm. Finally, it is proved that the space ces(X, pn, qn) has Kadec-Klee (H) property and we also give a counterexample concerning not rotundity of the vector-valued space ces(X, pn, qn). © 2010 Pushpa Publishing House.
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Keywords
Generalized cesáro sequence spaces, Geometric properties, H-property, Luxemburg norm, R-property, Vector-valued sequence spaces
Journal or Series
Far East Journal of Mathematical Sciences
WoS Q Value
Scopus Q Value
N/A
Volume
40
Issue
2
