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Duality in a class of vector Ko ̈ the-Orlicz spaces |
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PP: 547-551 |
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doi:10.18576/amis/170402
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Author(s) |
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Mohamed Ahmed Sidaty,
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Abstract |
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| 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 $M$. |
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