Structure and H-properties of Cesàro-φ vector valued sequence space.

Abstract

In this work we introduce the generalization of Cesàro-Örlicz real sequence space i.e Cesàro-φ vector valued sequence space, where φ is a generalization of Örlicz function, i.e, ces φ (X) and prove that this space is belongs to the class of Köthe sequence spaces and has the Fatou property. Futhermore, we investigate that this space posses H-property.