Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 2
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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/
@article{AMUC_2010_79_2_a12,
author = {M. Imaninezhad and M. Miri},
title = {The continuous dual of the sequence space l p ( {D} n ), (1 {\textsterling} p {\textsterling} {\textyen} , n {\^I} {N} )},
journal = {Acta mathematica Universitatis Comenianae},
year = {2010},
volume = {79},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2010_79_2_a12/}
}
TY - JOUR
AU - M. Imaninezhad
AU - M. Miri
TI - The continuous dual of the sequence space l p ( D n ), (1 £ p £ ¥ , n Î N )
JO - Acta mathematica Universitatis Comenianae
PY - 2010
VL - 79
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2010_79_2_a12/
ID - AMUC_2010_79_2_a12
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%A M. Imaninezhad
%A M. Miri
%T The continuous dual of the sequence space l p ( D n ), (1 £ p £ ¥ , n Î N )
%J Acta mathematica Universitatis Comenianae
%D 2010
%V 79
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2010_79_2_a12/
%F AMUC_2010_79_2_a12
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 ).