A generalization of Orlicz sequence spaces by Ces角ro mean of order one

作者：H Dutta; F Baar

来源：Acta Mathematica Universitatis Comenianae, 2011.

• Orlicz function
• Cesa ro mean of order one
• sequence spaces
• topological isomorphism
• AK space
• BK space.

In this paper, we introduce the Orlicz sequence spaces generated by Ces角ro mean of order one associated with a fixed multiplier sequence of non-zero scalars. Furthermore, we emphasize several algebraic and topological properties relevant to these spaces. Finally, we determine the K the-Toeplitz dual of the spaces $ell%26apos;$M(C,托) and hM(C,托).