搜索结果: 61-72 共查到“知识库 代数拓扑学”相关记录72条 . 查询时间(0.765 秒)
A covariant functor from fibrations over the circle to a family of AF-algebras is constructed; the functor takes continuous maps be-tween such fibrations to stable homomorphisms of the AF-algebras.We ...
BCI拓扑代数的几个代数问题
BCI代数 拓扑空间 BCI拓扑代数 范畴
2009/11/11
对ＢＣＩ拓扑代数的几个代数问题ＢＣＩ－ＴＯＰ的可积性，新拓扑代数的生成法及Ａｂｅｌ子范畴ＡＳ－ＢＣＩ－ＴＯＰ等进行了讨论，得到了相应的结果。
两点拉伸型不动点定理及其应用
不动点定理 两点拉伸型
2009/9/18
在研究各种非线性方程解的存在性问题时,上下解方法是一个强有力的工具.设 E是 Banach 空间,P 是 E 中的锥,E 中的半序由 P 导出.设 A:E→E 是一个算子.如果x_0∈E 满足...
Random Attractors for Sto chastic Reaction-Diffusion Equations on Unb ounded Domains
Sto chastic Reaction-Diffusion Equations Domains
2015/4/3
When Ω is unb ounded the time-t map is no longer
compact, but even i n this case, if g decays sufficiently fast
at infinity, asymptotic compactness of orbits and hence
the existence of a comp...
Toeplitz算子代数的归纳极限
Toeplitz算子代数 归纳极限
2008/12/5
设$(G_1,E_1), (G_2,E_2)$为两个拟格序群,记${\cal T}^{E_1},{\cal T}^{E_2}$为相应的Toeplitz算子代数. 设$\phi: G_1\to G_2$为一个保单位的群同态, 使得$\phi(E_1)\subseteq E_2$. 本文给出了上述两个Toeplitz算子代数间的自然同态映照成为$C^*$-代数的单同态的充要条件,刻画了Toepl...
关于内亏格1的弱可约SD-分解(英)
SD-分解 可约性 内亏格
2008/10/17
设$(M; H_{1},H_{2};F_{0})$为带边3-流形$M$的一个SD-分解.称该分解为可约的（或弱可约的）若存在本质圆片$D_1\subset H_1$，$D_2\subset H_2$使得$\partial D_1,\partial D_2\subset F_0$并且$\partial D_1=\partial D_2$ (或$\partial D_1\cap\partial D_2...
Polish空间上的概率测度所构成的空间
指数胎紧 一阶矩测度 弱拓扑 ＨOｌｄｅｒ连续
2012/11/20
令Ｓ为Polish空间，Ｍ1（Ｓ）为其上所有的概率构成的空间，赋予Ｍ１（Ｓ）弱拓扑.设｛Ｘｎ｝ｎ≥１为一列Ｍ１（Ｓ）列值的随机变量，｛μｎ｝ｎ≥１为相应的一阶矩测度序列，那么当ｎ→∞时，若｛μｎ｝ｎ≥１在Ｓ上是指数胎紧的，则｛Ｘｎ｝ｎ≥１在Ｍ１（Ｓ）上是指数胎紧的.此外，当Ｓ局部紧时，如下的度量诱导出Ｍ１（Ｓ）上的弱拓扑：ｄ（μ，μ－）＝ｓｕｐｆ∈Ｆ｜μ（ｆ）－μ－（ｆ）｜，ｕ,ｕ∈Ｍ１（Ｓ）．...
代数拓扑Ⅰ函子论——齐性空间的实拓扑
2007/12/12
自古以来,人们往往以数来刻划形的某些特征,即所谓形的度量,如道路的长短,田地的面积,器物的容量,以致点集的测度等等。在代数拓扑中,拓扑空间、复形、流形这类复杂的“形”难以用通常的数来描述,近代数学则引用群、环、代数等“代数系统”来刻划这些复杂的“形”。代数拓扑中,陆续出现了一些用以度量“形”的“数”。这种度量称为“函子”.现已引进妁函子主要有Η、π、J、Κ等,我们最近引进的函子,记作$I^*$。...
Traces of Maximal Ideals of Topological Algebras in Their Subalgebras
Topological algebras Gelfand-Mazur algebras locally pseudoconvex algebras galbed algebras traces of ideals in subalgebras
2010/2/26
Let K be one of the fields R or C, A a topological associative algebra over K with separately continuous multiplication, B a subalgebra of A and M a closed maximal regular left (right or two-sided) id...
On locally m-pseudoconvex A*-algebras
Locally m-pseudoconvex A*-algebra auxiliary topology Q-algebra pre-C*-algebra A*-algebra of the first kind
2010/3/1
We consider classical A*-algebras in the context of locally pseudoconvex algebras. Results concerning the auxiliary topology and A* -algebras of the first kind are given.
Criteria of Le page Type in Involutive Banach Algebras
Banach algebra Commutativity C\star-algebra antilinear map Spectral radius Numerical radius
2010/3/3
The Le Page inequality in Banach algebras is \parallel xy \parallel\leqa\parallel yx\parallel. We consider inequalities where a linear involution appears and has consequences on the involution itself ...
EXTENSION OF CARISTI-KIRK'S THEOREM
Uniform spaces multi-valued mappings fixed point theorem maximal element weak p-contraction mappings
2010/3/17
We give some extensions and/or improvements, to uniform spaces and to multi-valued mappings, of Caristi-Kirk's theorem.