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讨论了偏序线性空间的代数对偶空间上的端单调线性泛函的延拓性.进一步,还推导出端单调线性泛函的存在性定理. 相似文献
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单位球上Dirichlet空间上的分式线性复合算子 总被引:1,自引:0,他引:1
本文主要研究单位球上Dirichlet空间上的分式线性复合算子的伴随算子,讨论了该空间以及它与常值函数的商空间上此类算子的正规性和本性正规性,并得到非椭圆型分式线性映射和其伴随映射的复合为椭圆或抛物型分式线性映射的结论. 相似文献
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一类具有非单调内层性态的半线性边值问题 总被引:3,自引:0,他引:3
本文运用内层校正方法和微分不等式理论研究了一类半线性边值问题.在一定的条件下,我们获得了两类非单调内层性态:尖层性态或非单调过渡层性态的解的一致有效复合展开式. 相似文献
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《数学年刊A辑(中文版)》2004,(2)
具孔洞区域内的半线性抛物方程的齐性化 P.DONA了ro A.NABIL 该文致力于在具有周期性的大小为‘的子循环孔洞的区域内的具急振系数的半线性抛物方程的齐性化.在孔洞的边界规定了一个Neumann条件. 孔洞的出现不再保证LZ解的紧性.为克服这一困难,作者引入了一个恰当的辅助线性间题,利用校正算子的结果,刻划了当‘朴O时该半线性问题的渐近状态,给出了极限方程. 正则关系与单调正规序空间 徐晓泉刘应明 该文推广了Zareckii关于关系正则性的经典定理,获得了关系正则性的内蕴刻划.基于推广的Zareckii定理和正则性内蕴刻划给出了序拓扑空间… 相似文献
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本文是在日本数学家Kemoto 1993年所作的关于一个GO-空间(广义线性序空间)和一个正则不可数基数乘积正规性的结果的基础上作了进一步的推广,得到了两个GO-空间乘积的正规性的一个更一般的结果. 相似文献
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James空间的推广 总被引:1,自引:0,他引:1
R.H.Lohman和P.G.Casazza[2]就自反的、具有对称的块P——Hilbert基的Banach空间进行了讨论,给出了一阶次自反Banach空间的一种构造方法。本文在一类具有IS型基的Banach空间上进行了推广,并给出了构造一阶次自反空间的更一般性的方法。 以下记号S、的意义同[2],文中IS序列、ESA序列、SA序列及单调基、正规基的定义可见[2]、[3]。并总设E是Banach空间,{x_i}是E之IS型单调正规基。 一般的James空间定义类似[2],区别在于对于a=(a_i)∈S和我们定义: 相似文献
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本文证明了弱Hardy正规鞅空间wHp和wH^sp上的原子分解定理.利用鞅的原子分解给出了弱Hardy正规鞅空间上的次线性算子有界的一个充分条件.利用这个条件得到了关于正规鞅的一些弱Lp范数不等式和弱(p,p)型不等式.这些结果是经典Hp鞅论中一些重要结果的弱型对应. 相似文献
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J. E. Vaughan 《Indagationes Mathematicae》2001,12(4):585
It is well known that spaces defined from a separated uniform structure with a linearly ordered base of uncountable cofinality (ωμ-metrizable spaces) are ultraparacompact and have an ortho-base, hence are non-Archimedean spaces in the sense of A. Monna. Our results concern whether certain wider classes of spaces defined from linear structures retain these properties. We construct for every regular cardinal ωμ, examples of ωμ-additive, ωμ-stratifiable spaces (i.e., ωμ-Nagata spaces) that do not have an ortho-base. We give a number of examples of linearly stratifiable spaces, one of which is related to an example of Eric K. van Douwen concerning countable box products of stratifiable spaces. 相似文献
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We show that the following classes of topological spaces coincide: (1) stratifiable μ-spaces, (2) stratifiable spaces with an M-structure, (3) regularly stratifiable spaces, and (4) strongly regularly stratifiable spaces. 相似文献
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Ken-ichi Tamano 《Topology and its Applications》1983,16(3):287-301
We define a pair (F,U) to be a closed set F and an open set U such that F ? U. A sequence of pair collections is used to characterize stratifiable spaces instead of a sequence of neighbornets. We introduce a new class of spaces, called regularly stratifiable spaces, which is defined in terms of pair collections. Every stratifiable μ -space is regularly stratifiable, and every regularly stratifiable space has a σ -almost locally finite base, thus is hereditary M1. J. Nagata's problem for the dimension of M1 -spaces is answered positively in the class of regularly stratifiable spaces. 相似文献
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林寿 《数学年刊A辑(中文版)》2011,32(2):229-236
主要讨论了k半层空间上的闭映射性质,证明了k半层空间的闭映像若是不含有闭子空间同胚于S_(ω1)(S_ω)的k空间,则该闭映射是边缘s映射(边缘紧映射).最后给出例子表明弱层空间未必是层空间,否定回答了关于层空间的一个问题. 相似文献
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When is a Volterra space Baire? 总被引:1,自引:0,他引:1
In this paper, we study the problem when a Volterra space is Baire. It is shown that every stratifiable Volterra space is Baire. This answers affirmatively a question of Gruenhage and Lutzer in [G. Gruenhage, D. Lutzer, Baire and Volterra spaces, Proc. Amer. Math. Soc. 128 (2000) 3115-3124]. Further, it is established that a locally convex topological vector space is Volterra if and only if it is Baire; and the weak topology of a topological vector space fails to be Baire if the dual of the space contains an infinite linearly independent pointwise bounded subset. 相似文献
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We investigate the relations between decreasing sequences of sets and the insertion of semi-continuous functions, and give some characterizations of countably metacompact spaces, countably paracompact spaces, monotonically countably paracompact spaces (MCP), monotonically countably metacompact spaces (MCM), perfectly normal spaces and stratifiable spaces. 相似文献
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k半层空间是层空间与N空间的共同推广,本文综述k半层空间的研究进展,介绍k半层空间的刻画、性质及其推广,给出一些相关问题,供进一步研究. 相似文献
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Concerning the Collins, Reed, Roscoe, Rudin Metrisation Theorem 总被引:1,自引:0,他引:1
New criteria, in terms of the Collins-Roscoe structuring mechanism,are given for a space to be semi-stratifiable. Known characterisationsof metrisable, developable and stratifiable spaces are deduced. 相似文献
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In this paper, we investigate the relations between the stratifiable structure of spaces and the insertion of semi-continuous functions and give some characterizations of perfect spaces, semi-stratifiable spaces and K-semi-stratifiable spaces. 相似文献
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Continuous Function Characterizations of Stratifiable Spaces 总被引:3,自引:0,他引:3
The insertion of a continuous function between pairs of semicontinuous functions in a monotone manner is investigated. In particular, it is established that a topological space is stratifiable if and only if for every pair of semicontinuous functions...... 相似文献