Geodesic
The dual space of the sequence space bv p (1 £ p ¥ )
Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1 
M. Imaninezhad; M. Miri. The dual space of the sequence space bv p (1 £ p < ¥ ). Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a15/
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     author = {M. Imaninezhad and M. Miri},
     title = {The dual space of the sequence space bv p (1 {\textsterling} p < {\textyen} )},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2010},
     volume = {79},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a15/}
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The sequence space bvp consists of all sequences ( xk ) such that ( xk - x k - 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 d 1 and show that bv 1 * = d ¥ . Also we have modified the proof for case p > 1. Our notations improves the presentation and confirms with last notations l 1 * = l ¥ and l1 * = lq .