Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences

Creative Commons License

SÖNMEZ A., Basar F.

ABSTRACT AND APPLIED ANALYSIS, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2012
  • Doi Number: 10.1155/2012/435076
  • Journal Name: ABSTRACT AND APPLIED ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Erciyes University Affiliated: Yes

Abstract

The aim of the present paper is to introduce the spaces c(0)(lambda)(B) and c(lambda)(B) of generalized difference sequences which generalize the paper due to Mursaleen and Noman (2010). These spaces are the BK-spaces of non-absolute type and norm isomorphic to the spaces c(0) and c, respectively. Furthermore, we derive some inclusion relations determine the alpha-, beta, and gamma-duals of those spaces, and construct their Schauder bases. Finally, we characterize some matrix classes from the spaces c(0)(lambda)(B), and c(lambda)(B) to the spaces l(p), c(0), and c.