共查询到20条相似文献,搜索用时 62 毫秒
1.
本文是[1]的继续.就矢值序列空间Λ[X],我们在本文中讨论了Λ[X]中的有界集,紧集,以及Λ[X]的序列弱完备性,桶性,自反性等的遗传问题. 相似文献
2.
线性空间中具有集到集映射的向量极值问题的Lagrange乘子定理 总被引:2,自引:1,他引:1
卢占禹 《高校应用数学学报(A辑)》1995,(3):331-338
本文在没有任何拓扑结构的条件下,即在非常一般的线性空间中,首先利用Morris序列定义了集到集凸映射的概念,其次证明了集到集映射的Farkas-Minkowski定理,然后讨论了具有集到集映射的向量极值问题的Lagrange乘子定理。 相似文献
3.
超紧集的刻划与层次结构 总被引:1,自引:0,他引:1
本文给出了LF集的超紧性的网式、滤子式等几种刻划,剖析了超紧集的层次结构,得出了在导出分明拓扑满足T2分离性的前提下子集的超紧性与其任一α-截集的紧性等价等一系列结果。 相似文献
4.
Banach空间的K—M逼近 总被引:1,自引:0,他引:1
设X是自反、严格凸且具有H性质的Banach空间,A是X的弱序列完备子集。本文证明了A是可逼近紧的Chebyshev集的充分必要条件是A是太阳集;同时,也讨论了Orlicz序列空间的太阳集。 相似文献
5.
本文用代数方法建立了n维球面型空间Sn(K)和n维双曲空间Hn(K)中有限点集的点与点两两之间之距离的一类几何不等式,本文还建立了n维欧氏空间En中共球有限点集的一类几何不等式.作为本文结果的应用,简洁地得出[3]中的一个重要结果,并得出En中有限点集的两个几何不等式 相似文献
6.
7.
模糊半开集和半分离性公理 总被引:5,自引:0,他引:5
本文改进了文[3]的模糊半开集定义,在本文定义的模糊半开集定义,不仅可以完全保留文[3]的结论,而且还能建立分明拓扑空间及其诱导拓扑空间关于半开集、半闭集等对应关系。此外,本文借助重域概念重新定义了半-R0,半-R1和半-T2空间,与[4]相比,本文定义的半分离性公理体系可以更自然地推广分明拓扑空间中的有关定理。 相似文献
8.
L—fuzzy拓扑空间中的层仿紧集 总被引:5,自引:0,他引:5
首先,在L-fuzzy拓扑空间中引入了强α-局部有限族,并以此定义了比Ⅱ型强仿紧性更为广泛的层仿紧性,且讨论了层仿紧集的基本性质。其次,针对L-fuzzy子集引入了层Hausdorff分离性,研究了它的基本特征。最后,讨论了弱诱导包含式正则空间中层仿紧集的特征。 相似文献
9.
在弄清实函数连续点集结构的基础上,证明了不存在定义在R^n上的实函数f,使得f在有理点集Q^n上连续,而在无理点集(Q^n)上间断.并且得到:设(X,d)为具有σ有限开集的距离空间,E为X中的Gδ型集,则存在定义在X上的实函数f,使它在E上连续,而在F上间断. 相似文献
10.
讨论了集值测度的若干基本性质,在此基础上,研究了集值测度凸性,紧性及其靠拢定理,特别是到紧凸值集值测度的延拓定理。 相似文献
11.
研究了B值鞅Hardy空间与BMO空间的实内插,并利用所得结果,讨论了鞅Hardy空间的内插空间的共轭问题。 相似文献
12.
Xiaosha Zhou 《Rendiconti del Circolo Matematico di Palermo》2009,58(2):297-310
In this paper, we will study the continuity of multilinear commutator generated by Littlewood-Paley operator and Lipschitz
functions on Triebel-Lizorkin space, Hardy space and Herz-Hardy space.
相似文献
13.
本文讨论了多复变中混合赋范空间、Dirichlet型空间、Bloch型空间等全纯函数空间的一些等价刻画,获得了一系列充要条件. 相似文献
14.
Multipliers and Herz type spaces 总被引:1,自引:0,他引:1
ShanZhen Lu 《中国科学A辑(英文版)》2008,51(10):1919-1936
Hrmander condition for boundedness of multiplier operators will be replaced by a weaker condition described by certain weighted or non-weighted Herz spaces. Some results on boundedness of multiplier operators are then established. As direct corollaries of main theorems in this paper, several celebrated results on boundedness of multiplier operators will be improved or deduced. 相似文献
15.
In this paper we will reconsider the topological structure of Menger probabilistic normed spaces (briefly PN-spaces) under the t-norm M. We will prove that this topology is compatible with the topology induced by a countable and separating family of semi-norms, and hence the well-known theorems of classical functional analysis (such as the principle of uniform boundedness, open mapping and closed graph theorems) are valid in this context also. We will meanwhile obtain a method by which one may construct easily a large class of PN-spaces. Finally, using this method, we see that a certain subspace of bounded linear operators between PN-spaces, i.e. the class of strongly bounded linear operators, has a natural PN structure. 相似文献
16.
Dix H. Pettey 《Topology and its Applications》1982,14(2):189-199
Conditions under which a product space will be regular-closed or minimal regular are studied. It is shown that a product of regular-closed spaces need not be regular-closed and that a product of minimal regular spaces need not be minimal regular. 相似文献
17.
江治杰 《纯粹数学与应用数学》2010,26(6):984-991
通过再生核函数刻画了Hardy空间,Bergman空间上自伴加权复合算子以及自伴等距加权复合算子,最后研究了单位球上的分式线性自同构,得到了一个充分条件。 相似文献
18.
John A. Shuster 《Applied mathematics and computation》2010,216(12):3497-7310
Investigated is a number system in which the square of a basis number: (w)2, and the square of its additive inverse: (−w)2, are not equal. Termed W space, a vector space over the reals, this number system will be introduced by restating defining relations for complex space C, then changing a defining conjugacy relation from conj(z) + z = 0 in the complexes to conj(z) + z = 1 for W space. This change produces a dual-represented vector space consisting of two dual, isomorphic fields, which are unified under one “context-sensitive” multiplication. Fundamental algebraic and geometric properties will be investigated. W space can be interpreted as a generalization of the complexes but is characterized by an interacting duality which seems to produce two of everything: two representations, two multiplications, two norm values, and two solutions to a linear equation. W space will be compared to a previous suggestion of a similar algebra, and then possible applications will be offered, including a W space fractal. 相似文献
19.
狭义相对论的变革点就是相对时空观,而相对论时空与非欧几何学有着密切的联系.在介绍了传统的Minkowski空间后,引入双曲虚单位,其所构造的双曲复数对应双曲Minkowski复空间.利用双曲Minkowski空间复数运算规则,可以使高速运动客体的物理规律与复数的性质结合起来,为解决狭义相对论的普遍形式提供新的数学工具. 相似文献
20.
Jinsong Ni 《Central European Journal of Mathematics》2009,7(2):224-229
We will give a condition characterizing spaces X with SNT(X) = {[X]} which generalizes the corresponding result of McGibbon and Moller [8] for rational H-spaces.
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