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Document Type |
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Article In Journal |
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Document Title |
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On the Euler sequence spaces which include the spaces l(p) and l infinity II On the Euler sequence spaces which include the spaces l(p) and l infinity II |
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Document Language |
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Arabic |
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Abstract |
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By e(p)(r), we mean the space of all sequences whose Euler transforms of order r are in the sequence spaces l(p) and l(infinity) (see [B. Allay, F. Basar, M. Mursaleen, On the Euler sequence spaces which include the spaces l(p) and l infinity I, Inform. Sci. (2005) (in press)]), where 1 < p < infinity. In the present paper, we essentially characterize the classes (e(p)(r) : l infinity), (e(l)(r) : l(p)) and (e(p)(r) : f) of infinite matrices for 1 < p <= infinity and give the characterizations of some other matrix mappings from the space er 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 e(p)(r). (c) 2005 Elsevier Ltd. All rights reserved. |
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Journal Name |
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
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Volume |
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65 |
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Issue Number |
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3 |
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Publishing Year |
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2006 AH
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Added Date |
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Tuesday, June 17, 2008 |
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Researchers
| . | Mursaleen, M | Researcher | | |
| . | (Basar, F | Researcher | | |
| . | Altay, B | Researcher | | |
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