Cesaro序列空间ces_p (1 < p <∞) 的Opial模

The Opial Modular of Cesaro SequenceSpaces ces_p (1 < p< ∞)

摘要: Opial模是序列空间最重要数字指标，丰富了Opial性质的内涵，是序列空间的讨论与应用的有力工具，给出了Cesaro序列空间ces_p(1 < p < ∞) 的Opial模的计算公式并予以证明；验证了ces_p(1 < p < ∞) 具有一致Opial性质。

Abstract: The Opial modular is the most important digital index in sequence spaces, it riches the intension of the Opial property, and it is a powerful tool for the discussion and the applications in sequence spaces. The calculation formula of Opial modular in Cesaro sequence spacesces_p(1 < p< ∞) was given and proved, the fact that ces_p(1 < p < ∞) has the uniform Opial property was also proved.