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


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SÖNMEZ A. , Basar F.

ABSTRACT AND APPLIED ANALYSIS, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Basım Tarihi: 2012
  • Doi Numarası: 10.1155/2012/435076
  • Dergi Adı: ABSTRACT AND APPLIED ANALYSIS

Özet

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.