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Takahide Kurokawa 《Potential Analysis》2011,34(3):261-282
Let S(Rn){\cal S}(R^n) be the Schwartz space on R
n
. For a subspace V ì S(Rn)V\subset {\cal S}(R^n), if a subspace W ì S(Rn)W \subset {\cal S}(R^n) satisfies the condition that S(Rn){\cal S}(R^n) is a direct sum of V and W, then W is called a complementary space of V in S(Rn){\cal S}(R^n). In this article we give complementary spaces of two kinds of the Lizorkin spaces in S(Rn){\cal S}(R^n). 相似文献
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Locally convex spaces E for which every linear map of E into an arbitrary Frechet space with sequentially closed graph is continuous are studied. 相似文献
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ON LKUR SPACES 总被引:2,自引:0,他引:2
Yu Xintai 《数学年刊B辑(英文版)》1985,6(4):465-470
In this paper it is proved that if X is an LKUR space,then X has(H)property andif X is an LKUR space,then X has RNP.Also,if M is a Chebyshev subspace of LKURspace,then P(M) is continuous. 相似文献
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关于弱MCP空间与弱层空间 总被引:1,自引:0,他引:1
本文引入了与已知的一些空间类非常类似的两个概念,我们分别称它们为弱MCP空间与弱层空间.本文主要讨论了这两空间类的等价命题与一些基本性质,及它们与原有空间类的关系. 相似文献
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Characterizations of final + -compactness in countably compact spaces and in weakly
refinable spaces are given. 相似文献
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ZhongJinRUAN 《数学学报(英文版)》2003,19(3):485-496
During the last ten to fifteen years , a lot of progress has been achieved in the study of complex operator spaces. In this paper, we show that a corresponding theory can be developed for real operator spaces. With some appropriate modifications, many complex results still hold for real operator spaces. 相似文献
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该文讨论了置换空间P_B B_S的序列收敛定理,逼近性质和度量投影T_Z的连续性,推广了[1],[3]的相应结果. 相似文献
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对于1r∞与巴拿哈空间B=L~r(Ω,F,μ),我们研究了欧几里得空间R~n上B-值缓分布构成的哈代-洛伦茨空间H~(p,q)(R~n,B)及哈代-洛伦茨空间之间的内插,其中0p∞和0q≤∞,获得了H~(p,q)(R~n,B)的一系列等价的刻画及其原子分解.若Ω={1},则H~(p,q)(R~n,B)=H~(p,q)(R~n)是经典的情形;若Ω=Z是整数集且μ是Z上的计数测度并且r=2,0p∞及q=∞,则H~(p,q)(R~n,B)=H~(p,∞)(R~n,e~2)转化为Grafakos和He在文[Weak Hardy spaces,Preprint,2014]中讨论的情形. 相似文献
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The extension of two axioms due to Cook and Fischer to the category CAP of convergence approach spaces leads to the study of non-Archimedean approach spaces as well as two versions of regularity appropriate to CAP and related categories. 相似文献
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Rafael Oswaldo Ruggiero 《Transactions of the American Mathematical Society》1998,350(2):665-687
We show that if the universal covering of a compact Riemannian manifold with no conjugate points is a quasi-convex metric space then the following assertion holds: Either the universal covering of the manifold is a hyperbolic geodesic space or it contains a quasi-isometric immersion of .
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The object of the present paper is to study the semi-decomposibility of a weakly symmetric space introduced by Tamássy and Binh [1]. Also a weakly symmetric space admitting a concurrent or a recurrent vector field has been studied. 相似文献
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