Some Topological and Geometrical Properties of a New Difference Sequence Space


DEMİRİZ S., Cakan C.

ABSTRACT AND APPLIED ANALYSIS, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası:
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1155/2011/213878
  • Dergi Adı: ABSTRACT AND APPLIED ANALYSIS

Özet

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).