On the euler sequence spaces which include the spaces łp and ł∞ II
By , we mean the space of all sequences whose Euler transforms of order r are in the sequence spaces lp and l{infinity} (see [B. Altay, F. Basar, M. Mursaleen, On the Euler sequence spaces which include the spaces lp and l{infinity} I, Inform. Sci. (2005) (in press)]), where 1 < =p < {infinity...
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| Veröffentlicht in: | Nonlinear analysis 2006-08, Vol.65 (3), p.707-717 |
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| container_title | Nonlinear analysis |
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| creator | MURSALEEN, M BAGAR, F ALTAY, B |
| description | By , we mean the space of all sequences whose Euler transforms of order r are in the sequence spaces lp and l{infinity} (see [B. Altay, F. Basar, M. Mursaleen, On the Euler sequence spaces which include the spaces lp and l{infinity} I, Inform. Sci. (2005) (in press)]), where 1 < =p < {infinity}. In the present paper, we essentially characterize the classes and of infinite matrices for 1 < p < ={infinity} and give the characterizations of some other matrix mappings from the space to the Euler, Riesz, difference, etc., sequence spaces, by means of a given basic lemma. We devote the final section of the paper to examining some geometric properties of the space . |
| doi_str_mv | 10.1016/j.na.2005.09.038 |
| format | Article |
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| source | Elsevier ScienceDirect Journals |
| subjects | Exact sciences and technology Functional analysis Mathematical analysis Mathematics Sciences and techniques of general use Sequences, series, summability |
| title | On the euler sequence spaces which include the spaces łp and ł∞ II |
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