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1.
从Banach-Steinhaus定理、算子空间的完备性和双线性映射等方面给出了桶空间的几个特征性质.主要结果是定理1设X是Mackey空间,Y是非零的Hausdorff局部凸空间.则X是根空间当且仅当Ls(X,Y)中任何有界网{Ta}的点点极限T都属于Ls(X,Y).定理2设X是Mackey空间,Y是有界完备的非零Hausdorff局部凸空间.则X是桶空间当且仅当Ls(X,Y)是有界完备的.定理4设X和Y是非零的Hausdorff局部凸空间,则X是桶空间当且仅当每个点点有界的从X×X到Y的各别连续双线性映射族都是等度亚连续的.  相似文献   

2.
用极拓扑的方法讨论了局部凸Hausdorff线性拓扑空间(X,T)上几个特殊的与拓扑T有相同收敛序列的局部凸拓扑。主要结果是:(Tc0)a是X上最大的与T有相同收敛序列且与T相容的1.c.s拓扑;(Tc0)^0是X上最大的与T有相同收敛序列且关于偶对(X,X')是允许的1.c.s拓扑,同时给出了X上最大的与T有相同收敛序列的1.c.s拓扑的极拓扑构造。  相似文献   

3.
若干具有相同Mackey收敛序列的局部凸拓扑和M-列桶空间   总被引:3,自引:3,他引:0  
给定lcs空间(X,T),在X上构造了与T有相同Mackey收敛序列的若干lcs拓扑,并给出了它们相等的充要条件.定义了M-列桶空间,探讨了这种空间的一些性质,并给出了M-列桶空间的等价条件.  相似文献   

4.
在lcs空间(X,T)中证明了Taa(Tka)是X上最大的与T有相同的绝对凸紧集(紧集)且与T相容的lcs拓扑;(Ta)0((Tk)0)是X上最大的与T有相同的绝对凸紧集(紧集)且关于偶对(X,X′)容许的拓扑(admissibletopology).并给出了Taa(Ta)0的例  相似文献   

5.
本文证明了:设X和Y是两个Hausdorff拓扑空间,G是从Y到X的多值映射,满足y∈Y,G(y)是X中的非空子集,G在y邻近是一致紧的,且G在y是连续的,Z是X×Y上所有连续函数所成的空间,则yn∈Y,fn∈Z,  相似文献   

6.
设X和Y是复Banach空间,H是复可分Hilbert空间.L(X,Y)表示从X到Y的有界线性算子全体,将L(X,X)简记为L(X).对于T∈L(X),σ(T),σl(T)和σr(T)分别表示T的谱、左谱和右谱;σp(T),σπ(T)和σe(T)分别表示T的点谱、近似点谱和本质谱;r(T)表示T的谱半径.定义r1(T)=limk→∞(m(Tk))1/k,其中m(T)∶=inf{‖Tx‖:‖x‖=1}称为T的下界.设C表示复平面,Cn=C×…×C是n维复空间,K+=∞k=0Cn.{Wk}∞k=1…  相似文献   

7.
设(X,T)是T2空间,T1是拓扑T的基,A是*X上的内代数,ν是A上的内测度,本文用无穷小方法证明了:在k-饱和的非标准模型中,若X是正则空间,且对每一T∈T1,*T∈A,则对X的每一Borel集B,st-1(B)∈Lu(A)∩ns(*X),且νst-1|F(X)是τ-光滑Borel测度,νst-1|F(X)是Radon测度;若对每一T∈T,*T∈A,并且对每一T∈T及每一ε∈R+,有闭集CT,使L(ν)(*T-*C)<ε,则对每一Borel集B,st-1(B)∈L(ν,A)∩ns(*X)且νst-1|F(X)是正则τ-光滑Borel测度.文中并讨论了这些结果在测度扩张中的应用  相似文献   

8.
B值一致渐近鞅的局部收敛性及大数定律   总被引:3,自引:1,他引:3  
设(Ω,F,P)是概率空间,B是p阶一致光滑空间,X=(Xn,Fn,n≥1)是B值一致渐近鞅,则有:(1){∑∞n=1E(‖dXn‖βM‖dXn‖β-1+Mβ/Fn-1)<∞,1≤β≤p,M>0,supn≥1‖Xn‖<∞}{Xn收敛}(2){∑∞n=1E(‖dXn‖β(Mn)‖dXn‖β-1+(Mn)β/Fn-1)<∞,M>0,1≤β≤p}{Xnn收敛于0}(3)若对任意的x≥0及n≥1,均有P(‖dXn‖≥x)≤aP(Y≥x),其中Y是一正实值随机变量,EY<∞,E(Yln+Y)<∞,a是一正实数,那么Xnna.s.收敛于0.上述结论推广与改进了若干熟知的重要结果  相似文献   

9.
设X,Y是复数域C上的Hallsdorff局部凸线性拓扑空间,ΩC.讨论了向量值全纯函数各种定义的等价性,主要结果有定理1设X是序列完备的,f:Ω→X是弱全纯的,则f:Ω→X_β是强全纯的,从而f:Ω→X是强全纯的.定理2f:→X是强全纯的当且仅当它是局部全纯的。定理3设X是可数桶空间,则A:Ω→L_b(X,Y)是强全纯的当且仅当对每个x∈X,映射λ→A(λ)_x是强全纯的。推论1设X是可数桶空间,f:Ω→·是弱全纯的,则f:Ω→是强全纯的。  相似文献   

10.
设,X,Y为实拓扑线性空间,T:X-Y是X互Y的一个集值线性算子,本文给出了算子T具有闭图象的一些等价格条件,并推广了经典的闭图象定理。  相似文献   

11.
本文在三角形内角加权余弦和不等式的基础上,首次给出四边形内角加权余弦和不等式与一般凸n边形内角加权余弦和不等式.  相似文献   

12.
Banach空间上连续凸函数的微分性质   总被引:1,自引:0,他引:1  
给出了Banach空间中连续凸函数在一点Gateaux可微与Frechet可微的一个充要条件.  相似文献   

13.
引进局部凸空间的平均一致凸性的概念,给出其对偶的定义,得到平均一致凸(平均一致光滑)的局部凸空间的特征刻画及其在P-自反条件下的对偶关系:(X,P)是平均一致凸(平均一致光滑)的当且仅当(X′,P′)是平均一致光滑(平均一致凸)的.  相似文献   

14.
为了有效地进行语音变换,改善变换后语音的自然度和目标人倾向度.依据语音信号传播机理和(Fourier-Bessel)展开式系数对语音信号的表现能力,提出了利用F-B展开系数作为变换参数.在该算法中,根据F-B展开系数无语音相位信息的特点,提出基于最大基频相位的语音分帧算法;针对F-B展开式数据量过大的问题,提出了基于Karhunen-Loeve变换的参数压缩算法,转换模型使用GMM(Gaussian mixture model)模型.对算法进行了仿真实验.对变换后语音所进行的ABX测试表明,算法能够较好地完成语音变换,变换后语音的目标人趋向度比较高.  相似文献   

15.
本文详细分析了C++中构造函数、拷贝构造函数以及转型构造函数的作用,并深入探讨了构造函数、析构函数在派生类、虚基类中的不同作用规则以及调用次序。  相似文献   

16.
Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.  相似文献   

17.
The discovery of the prolific Ordovician Red River reservoirs in 1995 in southeastern Saskatchewan was the catalyst for extensive exploration activity which resulted in the discovery of more than 15 new Red River pools. The best yields of Red River production to date have been from dolomite reservoirs. Understanding the processes of dolomitization is, therefore, crucial for the prediction of the connectivity, spatial distribution and heterogeneity of dolomite reservoirs.The Red River reservoirs in the Midale area consist of 3~4 thin dolomitized zones, with a total thickness of about 20 m, which occur at the top of the Yeoman Formation. Two types of replacement dolomite were recognized in the Red River reservoir: dolomitized burrow infills and dolomitized host matrix. The spatial distribution of dolomite suggests that burrowing organisms played an important role in facilitating the fluid flow in the backfilled sediments. This resulted in penecontemporaneous dolomitization of burrow infills by normal seawater. The dolomite in the host matrix is interpreted as having occurred at shallow burial by evaporitic seawater during precipitation of Lake Almar anhydrite that immediately overlies the Yeoman Formation. However, the low δ18O values of dolomited burrow infills (-5.9‰~ -7.8‰, PDB) and matrix dolomites (-6.6‰~ -8.1‰, avg. -7.4‰ PDB) compared to the estimated values for the late Ordovician marine dolomite could be attributed to modification and alteration of dolomite at higher temperatures during deeper burial, which could also be responsible for its 87Sr/86Sr ratios (0.7084~0.7088) that are higher than suggested for the late Ordovician seawaters (0.7078~0.7080). The trace amounts of saddle dolomite cement in the Red River carbonates are probably related to "cannibalization" of earlier replacement dolomite during the chemical compaction.  相似文献   

18.
理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。  相似文献   

19.
As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.  相似文献   

20.
AcomputergeneratorforrandomlylayeredstructuresYUJia shun1,2,HEZhen hua2(1.TheInstituteofGeologicalandNuclearSciences,NewZealand;2.StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,ChengduUniversityofTechnology,China)Abstract:Analgorithmisintrod…  相似文献   

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