The continuous dual of the sequence space lp(Dn ), (1 ㏒ p ㏒ ㄓ , n N )

作者：M Imaninezhad and M Miri

来源：Acta Mathematica Universitatis Comenianae, 2011.

• difference operator
• continuous dual
• Banach space
• sequence space
• Schauder basis lp(Dn )

The space lp(Dm ) 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 l1(Dn ) and lP(Dn ). We have also determined the norm of the operator Dn acting from l1 to itself and from lㄓ to itself, and proved that Dn is a bounded linear operator on the space lp(Dn ).