Abstract
Let $E$ be a Banach space and $\Lambda$ a Banach perfect sequence space. Denote by $\Lambda (E)$ the space of all $\Lambda$-summable sequences from $E$. In this note it is proved that $\Lambda (E)$ is reflexive if and only if $\Lambda$ and $E$ are reflexive and each member of $\Lambda (E)$ is the limit of its finite sections.
Citation
M. A. Ould Sidaty. "Reflexivity and AK-property of certain vector sequence spaces." Bull. Belg. Math. Soc. Simon Stevin 10 (4) 579 - 583, December 2003. https://doi.org/10.36045/bbms/1070645803
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