Abstract

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cesp(1 < p < ∞) 的Opial模的计算公式并予以证明;验证了cesp(1 < p < ∞) 具有一致Opial性质。 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 spacescesp(1 < p< ∞) was given and proved, the fact that cesp(1 < p < ∞) has the uniform Opial property was also proved.

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