Some Topological and Geometrical Properties of a New Difference Sequence Space

DEMİRİZ S., Cakan C.

ABSTRACT AND APPLIED ANALYSIS, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2011
  • Doi Number: 10.1155/2011/213878
  • Journal Name: ABSTRACT AND APPLIED ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Inonu University Affiliated: Yes

Abstract

We introduce the new difference sequence space a(p)(r)(Delta). Further, it is proved that the space a(p)(r)(Delta) is the BK-space including the space bv(p), which is the space of sequences of pbounded variation. We also show that the spaces a(p)(r)(Delta), and l(p) are linearly isomorphic for 1 <= p < infinity. Furthermore, the basis and the alpha-, beta-and gamma-duals of the space a(p)(r)(Delta) are determined. We devote the final section of the paper to examine some geometric properties of the space a(p)(r)(Delta).