理论数学

Vol.2 No.1 (January 2012)

Cesaro序列空间cesp (1 < p <∞) 的Opial模
The Opial Modular of Cesaro Sequence Spaces cesp (1 < p< ∞)

 

作者:

于非非 , 李君

 

关键词:

Cesaro序列空间cesp(1 < p< ∞) Opial性质Opial模一致Opial性质Cesaro Sequence Spaces cesp(1 < p< ∞) Opial Property Opial Modular Uniform Opial Property

 

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.

文章引用:

于非非 , 李君 (2012) Cesaro序列空间cesp (1 < p <∞) 的Opial模。 理论数学, 2, 34-38. doi: 10.12677/pm.2012.21007

 

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