共查询到20条相似文献,搜索用时 15 毫秒
1.
仿照距离空间,2-距离空间中的一些概念,引入了p-距离空间及p-距离空间中的一些基本概念.根据研究2-距离空间中不动点理论的思想和方法,利用泛函分析的理论,对p-距离空间中的不动点问题进行了研究.把2.距离空间中压缩型映像的不动点理论移植到了p-距离空间中,形成了p-距离空间中压缩型映像的一些基本不动点理论.其距.离空... 相似文献
2.
Two geometries can be considered in the structure of linear complements: an
affine spine space and an affine space. An affine spine space arises from a space of
pencils. In terms of this geometry an affine partial line space may be defined. It is
extensible to the affine space. Automorphisms of the affine spine space are
automorphisms of appropriate affine space. 相似文献
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In this paper, we prove that strongly convex space and almost locally uniformly rotund space, very convex space and weakly almost locally uniformly rotund space are respectively equivalent. We also investigate a few properties of k-strongly convex space and k-very convex space, and discuss the applications of strongly convex space and very convex space in approximation theory. 相似文献
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通过对辛空间的深入分析和研究,从空间中的度量与向量的迷向性问题入手并展开较为详细的讨论,定义"伪辛"的概念,阐述"辛"概念的演变、扩充与伪辛空间生成的事实,进而揭示伪辛空间的本质属性及其与辛空间的内在联系与区别.论述过程同时给出了伪辛空间关于辛空间的内蕴和外延表示式. 相似文献
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本文提出了n维球面型空间和双曲空间中双基本图形的概念,建立了球面型空间与双曲空间中双基图形的度量方程,并给出度量方程的一些应用. 相似文献
7.
1引言1950年N.Aronszjan发表的一篇综述性文章《Theory of reproducing kernels》标志再生核理论的初步形成.由于再生核有许多良好的计算性质,S.Saitoh总结并深入研究再生核基本理论,进一步拓展了再生核的应用领域;徐利治把再生核应用于L~2(B)(B是复平面上的一个区域)中解析函数重积分降维问题,并提出了一个能对一些预先给出的 相似文献
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Campanato空间在偏微分方程上有广泛的应用.为此本文推广了Morrey空间和Campanato空间,并研究了引入的广义Morrey空间和广义Campanato空间的性质.另文应用广义Campanato空间得到了非幂次增长椭圆偏微分方程解的正则性. 相似文献
10.
J. R. Partington 《Israel Journal of Mathematics》1982,43(3):273-276
Every Banach space is isomorphic to a space with the property that the norm-attaining operators are dense in the space of
all operators into it, for any given domain space. A super-reflexive space is arbitrarily nearly isometric to a space with
this property. 相似文献
11.
本文研究了Orlicz-Bochner空间E_M(μ,X)的对偶空间的充分必要条件.运用Radon-Nikodym性质,给出Orlicz-Bochner空间L_((N))(μ,X~*)为E_M(μ,X)~*的对偶空间当且仅当X~*具Radon-Nikodym性质,提升了Orlicz空间及Lebesgue-Bochner空间的相关结论. 相似文献
12.
We characterize functions in Morrey space by p-Carleson measures. We then reveal a simple relation between Q space and Morrey space, that is Q space can be viewed as a fractional integration of the Morrey space. Therefore, many results for Morrey space can be translated onto Q space. For example, we show that Q space is a dual space by identifying its predual. 相似文献
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Forα1,let dvαdenote the weighted Lebesgue measure on the bidisk andμa complex measure satisfying some Carleson-type conditions.In this paper,we show a sufcient and necessary condition for the Toeplitz operatorTαˉμto be bounded or compact on weighted Bergman spaceL1a(dvα). 相似文献
14.
A compact space Q similar to the compact space known as Alexandroff's double arrow space is constructed. It is shown that the real space C(Q) has no Chebyshev subspaces of codimension >1, but the complex space C(Q) has such subspaces. 相似文献
15.
DENG Fangwen & OUYANG Caiheng Wuhan Institute of Physics Mathematics Chinese Academy of Sciences Wuhan China 《中国科学A辑(英文版)》2006,(11)
We give a definition of Bloch space on bounded symmetric domains in arbitrary complex Banach space and prove such function space is a Banach space. The properties such as boundedness, compactness and closed range of composition operators on such Bloch space are studied. 相似文献
16.
广义Morrey空间与广义Campanato空间及其应用(Ⅰ) 总被引:1,自引:0,他引:1
Campanato空间在偏微分方程上有广泛的应用.为此本文推广了Morrey空间和Campanato空间,并研究了引入的广义Morrey空间和广义Campanato空间的性质.另文应用广义Campanato空间得到了非幂次增长椭圆偏微分方程解的正则性. 相似文献
17.
We continue our study of the space of geodesics of a manifold with linear connection. We obtain sufficient conditions for a product to have a space of geodesics which is a manifold. We investigate the relationship of the space of geodesics of a covering manifold to that of the base space. We obtain sufficient conditions for a space to be geodesically connected in terms of the topology of its space of geodesics. 相似文献
18.
邓少强 《数学物理学报(A辑)》2008,28(6)
该文证明任何一个两点齐性的Finsler流形一定是黎曼流形.证明过程中作者将泛函分析中经典的Mazur定理推广到不一定是绝对齐次的Minkowski空间上. 相似文献
19.
This is a study of the dual space of continuous linear functionals on the function space Cps(X) with a natural norm inherited from a larger Banach space. Here ps denotes the pseudocompact-open topology on C(X), the set of all real-valued continuous functions on a Tychonoff space X. The lattice structure and completeness of this dual space have been studied. Since this dual space is inherently related
to a space of measures, the measure-theoretic characterization of this dual space has been studied extensively. Due to this
characterization, a special kind of topological space, called pz-space, has been studied. Finally the separability of this dual space has been studied.
相似文献
20.
We give a definition of Bloch space on bounded symmetric domains in arbitrary complex Banach space and prove such function
space is a Banach space. The properties such as boundedness, compactness and closed range of composition operators on such
Bloch space are studied.
Dedicated to Professor Sheng GONG on the occasion of his 75th birthday 相似文献