The continuous dual of the sequence space l p ( D n ), (1 £ p £ ¥ , n Î N )
Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 2
M. Imaninezhad; M. Miri. The continuous dual of the sequence space l p ( D n ), (1 £ p £ ¥ ,  n Î N ). Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2010_79_2_a12/
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The space l p ( D m ) consisting of all sequences whose m -th order differences are p-absolutely summable was recently studied by Altay. Following Altay, we have found the continuous dual of the spaces l 1 ( D n ) and l P ( D n ). We have also determined the norm of the operator D n acting from l 1 to itself and from l ¥ to itself, and proved that D n is a bounded linear operator on the space l p ( D n ).