English

On The Spaces of Fibonacci Difference Null and Convergent Sequences

Functional Analysis 2013-09-03 v1

Abstract

In the present paper, by using the band matrix F defined by the Fibonacci sequence, we introduce the sequence sequence spaces c_0(F) and c(F). Also, we give some inclusion relations and construct the bases of the spaces c_0(F) and c(F). Finally, we compute the alpha-, beta-, gamma-duals of these spaces and characterize the classes (c_0(F),X) and (c(F),X) for certain choice of the sequence space X.

Keywords

Cite

@article{arxiv.1309.0150,
  title  = {On The Spaces of Fibonacci Difference Null and Convergent Sequences},
  author = {Metin Başarır and Feyzi Başar and Emrah Evren Kara},
  journal= {arXiv preprint arXiv:1309.0150},
  year   = {2013}
}