Original scientific paper

On some new sequence spaces of non-absolute type related to the spaces {\mathversion{bold}$\ell_p$} and {\mathversion{bold}$\ell_\infty$ II

Mohammad Mursaleen ; Department of Mathematics, Aligarh Muslim University, Aligarh, India
Abdullah Kaid Noman ; Department of Mathematics, Faculty of Education and Science, Al Bayda University, Yemen

Abstract

In the present paper, which is a natural continuation of the work done in [13],we determine the $\alpha$-, $\beta$- and $\gamma$-duals of the sequence spaces $\ell _p^\lambda$ and $\ell _\infty^\lambda$ of non-absolute type, where $1\leq p<\infty$. Further, we characterize some related matrix classes and deduce the characterizations of some other classes by means of a given basic lemma.

Keywords

sequence spaces; $BK$-space; $\alpha$-; $\beta$- and $\gamma$-duals; matrix mappings

Hrčak ID:

74881

URI

https://hrcak.srce.hr/74881

Publication date:

21.12.2011.

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