Applied Mathematics & Information Sciences
Abstract
We deal with a complete normed space $E$, a scalar sequence space $\lambda$, and an Orlicz mapping $M$ to introduce and study some properties of the spaces $\lambda_M\{E\}$ of all $E-$valued sequences that are absolutely $(\lambda, M)$-summable. Denote by $\lambda_M\{E\}_{r}$ the subspace of $\lambda_M\{E\}$ whose elements are AK-sequences. We describe the continuous linear forms on this space in term of $E^*-$valued sequences that are absolutely $(\lambda^*, N)$-summable, where $N$ is the Orlicz mapping complement of $M$.
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/amis/170402
Recommended Citation
Ahmed Sidaty, Mohamed
(2023)
"Duality in a class of vector Ko ̈ the-Orlicz spaces,"
Applied Mathematics & Information Sciences: Vol. 17:
Iss.
4, Article 2.
DOI: http://dx.doi.org/10.18576/amis/170402
Available at:
https://digitalcommons.aaru.edu.jo/amis/vol17/iss4/2