Original scientific paper

On some new sequence spaces of non-absolute type related to the spaces {\mathversion{bold}${\ell }_p$} and {\mathversion{bold}${\ell }_{\mathrm{\infty }}$ 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 ${\ell }_{\mathrm{\infty }}^{\lambda }$ of non-absolute type, where $1\le p<\mathrm{\infty }$. 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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