作用在有限线性空间上基柱为2F4(q)的几乎单群

本文研究了基柱同构于2F4(q)的线传递的几乎单群.利用了有限线性空间上线传递的自同构群的经典结论,以及2F4(q)的阶和极大子群等性质,获得了点稳定子群和线稳定子群的分类.     

OPTIMAL CONTROL FOR LINEAR SYSTEM WITH QUADRATIC INDEFINITE CRITERION ON HILBERT SPACES

In this paper we consider optimal control problems for linear system on real separableHilbert spaces with quadratic criterion,in which the state weighted operators are indefinite.Wellposedness and solvability,existence and uniqueness of optimal control are discussed.Weprove that the closed-loop syntheses of optimal control are state linear feedback.Existence ofsolutions of related operator Riccati equations is investigated.     

ON OPTIMAL BACKWARD PERTURBATION ANALYSIS FOR THE LINEAR SYSTEM WITH BLOCK CYCLIC COEFFICIENT MATRIX

Based on the block style spectral decomposition, this paper deals with the optimal backward perturbation analysis for the linear system with block cyclic coefficient matrix.     

GENERAL OPEN MAPPING THEOREMS FOR LINEAR TOPOLOGICAL SPACES

0IntroductionIntile1930's,thefirstoped1flappingtheoremforFr6clletspaceswasprovedbyS.B....htll].Sincethedtilevariousextellsiollsoftheopenmappingtheoremhaveapl)earedillsuccessiollforitsapplications(fordetails,see[4]).In1958,V.PtAkfoundoutthatoped1llappillgtheoremsareconllectedwithsolllecompleteness,alldheobtainedastrikillgextensiollofBallach'sclassicaltlleoreul,whichpoilltsoutthatcontinuouslillearmapsfi.olllB-colllpletespacesolltobarrelledspacesareoped['].1111965,T.Husaingaveaninlportalltope…     

局部紧Vicenkin群上Herz型Hardy空间中的线性算子内插定理

本文得到了 Vilenkin群上 Herz型 Hardy空间中的线性算子内插定理及其推广     

带线性约束的回归模型参数的Liu估计方法

针对一般带约束的最小二乘估计(ORLSE)在参数估计中处理复共线性的不足,通过引入附加随机线性约束,提出了约束Liu型估计方法.经理论证明,此方法在均方误差下较已经提出的ORLSE和约束岭估计(RRE)效果更好,并且它可以作为两种方法的推广形式.讨论了其中k, d的确定原则,并将此方法推广到了广义形式和典则形式下的估计公式.     

Suzuki群Sz(q)和线性空间的自同构群

本文研究了线性空间的几乎单的线传递自同构群.利用有限线性空间上线传递自同构群的经典结论,以及Suzuki群Sz(q)的性质,获得了线性空间上线传递且点本原的自同构群的基柱不是Sz(q)的结果,推广了关于线传递性空间的已有结果.     

POSITIVITY METHODS FOR DICHOTOMY OF LINEAR SKEW-PRODUCT FLOWS ON HILBERT SPACES

Abstract

In [Na-Rh] we developed a method based on positivity in order to characterize the stability of the evolution family corresponding to the nonautonomous Cauchy problem in Hilbert spaces. This method is extended to the study of hyperbolicity of linear skew-products. We also show that exponential dichotomy of a linear skew-product flow is equivalent to the existence of a Hermitian valued solution of some linear Riccati equation.     

序线性空间中向量极值的标量化定理

文[1]在B anach空间中讨论了向量优化问题的标量化问题。本文在序线性空间由凸集分离定理得到了序线性空间中向量极值的标量化定理。     

HILBERT空间中散逸动力系统一般线性方法的散逸稳定性

１．引言 １９９４年,Ｓｔｕａｒｔ与 Ｈｕｍｐｈｒｉｅｓ［４,５］首先考察了用 Ｒｕｎｇｅ－Ｋｕｔｔａ方法求解 Ｒｍ中的散逸动力系统（２．１）－（２．２）时数值解是否继承真解具有的散逸稳定性,并表明代数稳定且不可约的 Ｒｕｎｇｅ－Ｋｕｔｔａ方法是散逸稳定的且有一有界吸引集．１９９６年,本文作者［１］把这一工作推广到了两类特殊的一般线性方法．１９９７年,Ｈｉｌｌ在［３］中证明了Ａ－稳定是单支方法散逸稳定的充要条件,在［２］中又把文［４,５］的工作推广到了 Ｈｉｌｂｅｒｔ空间中的散逸动力系统（２．１）－（…     

EXOTIC SYMMETRIC SPACES OF HIGHER LEVEL: SPRINGER CORRESPONDENCE FOR COMPLEX REFLECTION GROUPS

Let G?=?GL(V) for a 2n-dimensional vector space V, and θ an involutive automorphism of G such that H?=?G ^θ ???Sp(V). Let Open image in new window be the set of unipotent elements g ∈ G such that θ(g)?=?g ^?1. For any integer r?≥?2, we consider the variety Open image in new window , on which H acts diagonally. Let Open image in new window be a complex reflection group. In this paper, generalizing the known result for r?=?2, we show that there exists a natural bijective correspondence (Springer correspondence) between the set of irreducible representations of W _n,r and a certain set of H-equivariant simple perverse sheaves on Open image in new window . We also consider a similar problem for Open image in new window , on which G acts diagonally, where G?=?GL(V) for a finite-dimensional vector space V.     

具有慢变与快变模型的线性次优滤波

我们讨论具有白噪声的线性系统(?) (1)的线性滤波问题,其中 {w(t)} 均值为零,方差为 I 的 Gauss 白噪声.系统(1)的模型噪声与量测噪声独立,即 (?) D~τ=0.并设 R=DD~τ>0.系统初值 x~0,z~0与噪声 w(t)相互独立.μ为大于零的小参数.     

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

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。     

L-Fuzzy子域与L-Fuzzy线性空间

本文在L是完全分配格时，给出L—Fuzzy子域和L—Fuzzy线性空间的定义，并以Lα-集合套和Lβ-集合套理论为基本工具给出它们的若干刻画．     

COMPLETENESS IN LINEAR FUZZY NEIGHBORHOOD SPACES

Abstract

Some of the problems related to the completeness in linear fuzzy neighborhood spaces are investigated. It is shown that if (E, N) is a linear fuzzy neighborhood space, then the space É = M(E) of all minimal hyper-Cauchy prefilters on (E, N), equipped with a certain linear fuzzy neighborhood structure N, is the unique, up to isomorphism, ultracompletion of (E, N).     

局部环上辛群在线性群中的扩群

本文完全定出了局部环上辛群在一般线性群中的扩群.