Strict convexity of Orlicz sequence spaces equipped with p-Amemiya norm
Strict convexity of Orlicz sequence spaces equipped with p-Amemiya norm
复制标题
配备 p-Amemiya 范数的 Orlicz 序列空间的严格凸性
DOI：
10.1007/s13226-021-00157-x
复制
发表时间：
2021
期刊：
影响因子：
--
通讯作者：
崔云安
中科院分区：
文献类型：
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作者：
Xiaoyan Li;崔云安
In this paper, criteria for strict convexity of Orlicz sequence spaces equipped with the p-Amemiya norms (1 ≤ p ≤ ∞) are presented. The obtained results widen the characterization of strict convexity of Orlicz sequence spaces. From our results it follows that there are Orlicz sequence spaces which are strictly convex for p-Amemiya norms with 1 < p < ∞ only, that is, they are neither strictly convex for Luxemburg norm corresponding to the case p = ∞ nor for Orlicz norm corresponding to the case p = 1.
