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给出赋Orlicz范数的Musielak-Orlicz序列空间具有一致Gateaux可微性的充分必要条件. 相似文献
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作者给出赋Luxemburg范数Musielak-Orlicz序列空间光滑点的支撑泛函的刻画.进一步,给出赋Orliez范数和赋Luxemburg范数Musielak-Orlicz序列空间的粗性,点态粗的充分必要条件. 相似文献
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本文对赋序列范数的矢值Banach序列空间ss(E)的一些凸性进行了讨论,得到的主要结果如下: 1.ss(E)是局部一致凸的当且仅当ss和E是局部一致凸的; 2.ss(E)是强凸的当且仅当ss和E是强凸的; 3.设ss和ss*具有AK性质,则ss(E)是非常凸的当且仅当ss和E是非常凸的. 相似文献
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本文给出了Musielak-Orlicz序列空间中S-点的充要判别准则.作为推论,得到Musielak-Orlicz序列空间具有S-性质的充分必要条件. 相似文献
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Criteria for strong U-points, compactly locally uniformly rotund points, weakly compactly locally uniformly rotund points and locally uniformly rotund-points in Orlicz sequence spaces equipped with the Luxemburg norm are given. It is also shown that in any Banach space X strong U-points are exposed points and that these points are related to very smooth points in the dual space X*. 相似文献
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对赋Luxember范数或Orlicz范数的Orlicz型序列空间,诸如古典的、广义的及参数式的,本文总结、补充、比较列出了暴露点及暴露性的充分必要刻画,并对以往结果中的错误进行了修正,从而在序列空间方面系统地完成了有关暴露性的刻画。 相似文献
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该文给出赋0rlicz范数的Musielak-Orlicz序列空间中Gateaux可微点(光滑点)与Frechet可微点(强光滑点)的判定准则.在此基础上推出了该空间具有光滑性或强光滑性的充分必要条件. 相似文献
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Smooth points of the unit sphere of ORLICZ spaces equipped with LUXEMBURG norm are characterized for a non-atomic measure as well as for the counting measure. As a corollary, a criterion of smoothness of ORLICZ spaces with LUXEMBURG norm is obtained. 相似文献
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Anna Denkowska 《Numerical Functional Analysis & Optimization》2013,34(9):1001-1032
The aim of this article is to obtain a characterization (in the spirit of Jamison-Kamińska-Lewicki) of one-complemented subspaces in Musielak-Orlicz sequence spaces defined by Musielak-Orlicz functions satisfying a general smoothness condition. The result obtained is an important extension of the Jamison-Kamińska-Lewicki Theorem. Some applications are also discussed. 相似文献