共查询到18条相似文献,搜索用时 46 毫秒
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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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研究了广义Orlicz序列空间关于Luxemburg范数的非方性,参考经典Orlicz空间的讨论方法,发展了广义情形下的新方法,给出了判别该性质的充要条件. 相似文献
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张建中 《纯粹数学与应用数学》1990,6(2):91-93
我们首先回顾有关定义。设实值函数Φ(X)定义在[0,∞)上,若Φ是一个单调的连续的次可加函数,且满足条件:Φ(X)=0当且仅当X=0,则称Φ是一个模函数,设D表示复平面上的开单位圆盘,H(D)表示D上解析函数全体。对于一个给定的模函数Φ,Har-dy—Orlicz空间H(Φ)定义为 相似文献
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Orlicz序列空间的Opial性质 总被引:1,自引:0,他引:1
本文给出了Orlicz序列空间具有Opial性质的条件,进而得到了具有Opial条件的Orlicz序列空间中的任何一个非空的依坐标收敛闭的有界凸集上的第一类非扩张映射T必有不动点. 相似文献
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证明了Orlicz序列空间lm的粗系数R(lm)=2/supky,这里‖y‖0n=1ky=min{k>0:‖y‖0n=1/k(1+PN(ky))}. 相似文献
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本文研究Orlicz序列空间的对偶映射,给出对偶映象集为弱紧集的充分必要 条件.作为推论,得到Orlicz序列空间的弱接近光滑性的充要条件. 相似文献
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LetXbeaBanachspace,X'bethedualofX,S(X)={xeX:IIxII=l},B(X)={x6X:llxIlS1}betheunitsphereandunitballofX,respectively.ForxeX,let7xdenotethesetofsupportingfunctionalsfofS(X.)atx.Inl978,LauKa-singintroducedthefollowingnotiontostudytheChebyshevsubsetofX[1j:DefinitionABanachspaceXissaidtohaveU-propertyifforanyE>O,thereexists3>osuchthatSomeoftheresultsofU-propertyin[ljaresummarizedinthefollowing.Theorem(I)IfXhasU-property,thenXisuniformlynonSquare,inparticular,Xissuper-reflexive(infactr… 相似文献
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Various characterizations are given of the exponential Orlicz space L and the Orlicz‐Lorentz space L. By way of application we give a simple proof of the celebrated theorem of Brézis and Wainger concerning a limiting case of a Sobolev imbedding theorem. 相似文献
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Bao Xiang Wang 《数学学报(英文版)》2001,17(4):595-602
The criteria for the weak compactness of duality mapping sets J(x) = {f∈X* : <f, x> = ∥f∥2 = ∥x∥2} in Orlicz sequence spaces endowed either with the Luxemburg norm or with the Orlicz norm are obtained.
Supported by the National Natural Science Foundation of China, Grants 19901007 and 19871020 相似文献
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在赋Orlicz范数的Orlicz空间中,给出最佳逼近算子单调性的一个充分条件和最佳逼近元存在定理. 相似文献
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We obtain some expressions for the Riesz angles of Orlicz sequence spaces endowed with the Luxemburg and Orlicz norms and show some practical ways of computation. 相似文献
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On Some Applications of Geometry of Banach Spaces and Some New Results Related to the Fixed Point Theory in Orlicz Sequence Spaces 下载免费PDF全文
Yunan Cui Henryk Hudzik Radosław Kaczmarek Haifeng Ma Yuwen Wang & Meiling Zhang 《数学研究》2016,49(4):325-378
We present some applications of the geometry of Banach spaces in the approximation
theory and in the theory of generalized inverses. We also give some new
results, on Orlicz sequence spaces, related to the fixed point theory. After a short introduction, in Section 2 we
consider the best approximation projection from a Banach space $X$ onto its non-empty
subset and proximinality of the subspaces of order continuous elements in various
classes of Köthe spaces. We present formulas for the distance to these subspaces of
the elements from the outside of them. In Section 3 we recall some results and definitions
concerning generalized inverses of operators (metric generalized inverses and
Moore-Penrose generalized inverses). We also recall some results on the perturbation
analysis of generalized inverses in Banach spaces. The last part of this section concerns
generalized inverses of multivalued linear operators (their definitions and representations).
The last section starts with a formula for modulus of nearly uniform
smoothness of Orlicz sequence spaces $\ell^\Phi$equipped with the Amemiya-Orlicz norm.
From this result a criterion for nearly uniform smoothness of these spaces is deduced.
A formula for the Domínguez-Benavides coefficient $R(a,l_\Phi)$ is also presented, whence
a sufficient condition for the weak fixed point property of the space $\ell^\Phi$is obtained. 相似文献
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O.I. Vladimirskaya 《Positivity》2001,5(1):65-74
It is proved that the closure of the range of a nonatomic countably additive measure with values in an Orlicz space l
M, where 2 [M,M], is convex. 相似文献