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一致凸点(UR点)和弱一致凸点(WUR点)是Banach空间几何学的重要概念,它们在逼近轮,控制论,变分不等式等分支中都有广泛的应用。本文给出了在Orlicz空间中一致凸点(UR点)和弱一致凸点(WUR点)的判别准则,据此方便地得到了Orlicz空间是局部一致凸、弱局部一致凸的条件。 相似文献
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本文给出l∞(X)以及L1(l1(X),y),L(X,l∞(Y))和L(X,co(Y))的单位球的有限阶光滑点和强光滑点的充要条件,这是X和Y都是任意的Banach空间,特别地,本文给出这些空间的单位球的光滑点和强光滑点的充要条件。 相似文献
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该文给出了赋Orlicz范数的Orlicz空间L°M中的点是支撑映射的上(下)半连续点的充分必要条件;推出了支撑映射为上(下)半连续的判别准则. 相似文献
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得到Musielak Orlicz序列空间中上(下)单调点和上(下)局部一致单调点的充分必要条件. 相似文献
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本文给出了赋Orlicz范数的Musielak-Orlicz序列空间的局部一致凸性,(H)性质,(S)性质的判据. 相似文献
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本文给出了赋Orlicz范数的Musielak-Orlicz序列空间的局部一致凸性,(H)性质,(S)性质的判据。 相似文献
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本文讨论赋Orlicz范数的Orlicz序列空间LM,主要结果如下:(1)LM具有Lami-Dozo性质 相似文献
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We introduce the notion of K-very smoothness which is a generalization of very smoothness in Banach spaces. A necessary and sufficient condition for a Banach space to be K-very smooth is obtained. We also consider some relations between K-very smoothness and other geometrical notions. 相似文献
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We give a characterization of smooth stable and smooth projective planes in terms of submersion and transversality. Moreover, smooth affine translation planes are characterized by properties of their corresponding spreads, considered as subsets of the Grassmannian. The last section contains smoothness results about spherical Moebius planes. In particular, we establish smoothness properties of the classical Moebius plane. 相似文献
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某些Banach空间的有限阶光滑点和强光滑点(英) 总被引:2,自引:0,他引:2
本文给出l∞(X)以及L(l1(X),Y),L(X,l∞(Y))和L(X,c0(Y))的单位球的有限阶光滑点和强光滑点的充要条件,这里X和Y都是任意的Banach空间.特别地,本文给出这些空间的单位球的光滑点和强光滑点的充要条件. 相似文献
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Musielak-Orlicz空间是经典Orlicz空间的一种推广,ω^*光滑是Orlicz空间的一种重要几何性质,本讨论了Musielak-Orlicz空间中ω^*光滑点的充分必要条件。 相似文献
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Onk-StrictlyConvexandk-VerySmoothBanachSpacesZhangZihou(张子厚)(HuainanTelecisionUniversity,Huainan,Anhui,232001)Abstract:Inthis... 相似文献
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本文给出了有关同调光滑连通上链微分分次(简称DG)代数的两个重要结论.具体地说,当A是同调光滑连通上链DG代数且其同调分次代数H(A)是诺特分次代数时,证明D_(fg)(A)中的任意Koszul DG A-模都是紧致的.另外,当A是Kozul连通上链DG代数且其同调分次代数H(A)是有平衡对偶复形的诺特分次代数时,证明A的同调光滑性质等价于D_(fg)(A)=D~c(A). 相似文献
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讨论了严格伪压缩映像的不动点问题.在2-一致光滑一致凸的Banach空间中,通过Mann迭代方法得到严格伪压缩映像的不动点的弱收敛结果.这个结果推广了目前的已知结果. 相似文献
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Given a stochastic ordering between point processes, say that a p.p. N is smooth if it is less than the Poisson process with the same average intensity for this ordering. In this article we investigate
whether initially smooth processes retain their smoothness as they cross a network of FIFO ·/D/1 queues along fixed routes. For the so-called strong variability ordering we show that point processes remain smooth as
they proceed through a tandem of quasi-saturated (i.e., loaded to 1) M+·/D/1 queues. We then introduce the Large Deviations ordering, which involves comparison of the rate functions associated with
Large Deviations Principles satisfied by the point processes. For this ordering, we show that smoothness is retained when
the processes cross a feed-forward network of unsaturated ·/D/1 queues. We also examine the LD characteristics of a deterministic p.p. at the output of an M+·/D/1 queue.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献