| Authors | ایمانی نژاد |
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| Journal | Acta Mathematica Universitatis Comenianae |
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| Page number | 143-149 |
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| Serial number | 79 |
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| Volume number | 1 |
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| Paper Type | Full Paper |
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| Published At | 2010 |
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| Journal Grade | ISI |
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| Journal Type | Electronic |
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| Journal Country | Jordan |
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| Journal Index | Scopus |
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Abstract
The sequence space bvp consists of all sequences (xk) such that (xk − xk−1) belongs to the space lp. The continuous dual of the sequence space bvp has recently been introduced by Akhmedov and Basar [Acta Math. Sin. Eng. Ser., 23(10), 2007, 1757–1768]. In this paper, we show a counterexample for case p = 1 and introduce a new sequence space d∞ instead of d1 and show that bv1* = d∞. Also we have modified the proof for case p > 1. Our notations improve the presentation and are confirmed by last notations l1* = l∞ and lp* = lq.
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