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1.
为了对TAΩ类中C*-代数给出分类,讨论Ω中分类性质的遗传性.利用TAΩ中C*-代数的几个等价定义,证明:如果Ω类中C*-代数具有性质(M),则对于C*-代数A∈TAΩ,A也具有性质(M).  相似文献   

2.
设0→I→B→πA→0是一个拟对角扩张。为研究C*-代数B的性质,对C*-代数B的理想I和商代数A的性质进行研究。证明如下结论:(1)如果I和A具有无孔性质,则B也具有无孔性质;(2)如果I和A具有弱可分性质,则B也具有弱可分性质;(3)如果I和A具有Riesz插值性质,则B也具有Riesz插值性质。上述结论可以用来研究非单的C*-代数的正则性质。  相似文献   

3.
设R为实数域,A∈R2k×2k,J=[0 Sk -Sk 0,]若JAJT=A,AT=-A,则称A为反对称自正交相似矩阵.全体n阶反对称自正交相似矩阵的集合记为AJn×n,n=2k.本文研究了如下反对称自正交相似矩阵反问题:问题Ⅰ:己知X、B∈Rn×m,求A∈AJn×n,使得AX=B;问题Ⅱ:已知A*∈Rn×n,求~A∈SE,使得‖A*-‖=inf A∈SE‖A*-A‖.其中SE是问题Ⅰ的解集.给出了问题Ⅰ解存在的条件及一般解的表达式,也给出了问题Ⅱ的唯一解.  相似文献   

4.
定义了Kato-Weyl算子及其谱集,研究了在Hilbert空间上,当A∈B(H),B∈B(K)且C∈B(K,H)时,上三角算子矩阵为Mc=(A/O C/B)Kato-Weyl算子的条件及其重要性质.  相似文献   

5.
近年来,不论是高考题,还是高考复习资料中,都有这样类型的题目:设:A={x|x=2n,n∈Z},B={x|x=3n,n∈Z},求A∩B,A∩(?),A∪B,A-B.对于一般的高中生做此类型,总是无从下手,以至做对也不明其所以然.本文就这类型题的解题方法做一说明,并用整数分类思想给出其一般的解法.我们知道A∩B={x|x∈A且x∈B}={x|x=2n且x=3n,n∈Z}={x|x既能被2整除且x又能被3整除}={x|x能被6整除}(∵2和3互质)={x|x=6n,n∈Z}.这样,利用集合交运算的定义就可求A∩B,当我们计算A∩(?)时,若直接用上述方法就行不通,故我们这样来考虑.A∩(?)={x|x∈A且x∈(?)}={x|x∈A且x具有(?)元的属性}={x|A中具有(?)元的属性的x}即A∩(?)为A中具有(?)元的属性的x全体组成的集合.所以,A∩(?)为所有不能被3整除的2n(n∈Z)全体组  相似文献   

6.
设图G(V,E)为简单图,其点数不小于3.图G(V,E)的k-邻强边染色是指映射f:E(G)→{1,2,…,k},使f为正常边着色,且坌u,v∈V(G),当uv∈E(G)时,有C(u)≠C(v),其中C(u)={f(uv)|uv∈E(G)}.记X'as(G)=m in{k|G有k-邻强边着色法}.称X'as(G)为G的邻强边色数。本文构造了三类图Cn·Cm,Cn·Fm,Cn·W m,通过对图的具体着色得到其邻强边色数分别为4,m+1,m+1.  相似文献   

7.
研究了如下的拟线性椭圆型方程:△pu+uq+λup*-1=0,u∈W1o,p(Ω), (1λ)其中,Ω2是RN中具有光滑边界的有界区域,△pu=div( |▽u|p-2▽u),N≥3,2≤p<N,0<q<1,p*=NP/N-P.设λ*(Ω,p,q)是拟线性椭圆型方程(1λ)可解的参数集的上确界.运用变分方法,在不要求...  相似文献   

8.
半线性椭圆型偏微分方程正问题解的存在惟一性   总被引:1,自引:1,他引:0  
研究了半线性椭圆型偏微分方程.{-△u B·gradu a(x,u)=0u|(α)Ω=g∈W2-1/P.p((α)Ω)的正问题的解的存在惟一性.证明过程中应用了由内部向边界逼近的技巧性处理.  相似文献   

9.
在一个代数系统中,它的代数式所具有的形式与这个代数系统的幂等元的存在情况有密切的关系。 设是定义了两个二元运算“ ”和“·”的代数系统,a仨S.若2a=a a=a,对于运算“ ”来说,a是S的一个幂等元。若a~2=a·a=a,对于运算“·”来说,a是S的一个幂等元。 若在代数系统中,S的每个元x对于这两种运算都是幂等元,则mx=x,x~m=x,这里m是自然数,即x既没有系数,也没有次数。如在布系代数(B,-, ,·>中,B的每个元对这两种二元运算“ ”和“·”都是幂等元,任取x_1,x_2,x_3∈B,有(?)_1,(?)_2,(?)_3∈B。象x_1(?)_2 (?)_1(?)_3,(x_1 x_3)x_2这类既没有系数,每个元没有次数的代数式在布尔代数中才有意义。 若在代数系统中,对于两种运算S有元x都不是幂等元,则x既有系数,又有次数。如在有单位元的环中,R的零元对于这两种二元运算都是幂等元,R中的单位元1对于运算“·”是幂等元,除此之外,R可能有元x_1,x_2,x_3对这两种运算都不是幂等元。于是形如3x_1 x_1~2、(-8x_2)(6x_1~5 2x_3)这类既有系数,每个元有次数的代数式在环中是有意义的。 由此可见,探讨代数系统中幂等元的存在情况,是一件有意义的事情。下面,我们就从最简单的代数系统开始讨论。 1 幺半群与群的幂等元 我们知  相似文献   

10.
研究如下的三维Kirchhoff型问题{-(a+b∫Ω|u|2d)xΔu=|u|q-1u+λ|u|p-2u|x|s,x∈Ω,u=0,x∈Ω,其中,Ω是R3中具有光滑边界的有界区域,0∈Ω,0q1,0≤s1,4p2*(s)=2(3-s),a,b,λ0.运用变分方法,证明当λ0足够小时,这一方程至少有2个正解.  相似文献   

11.
The article introduces Shakespeare's tragedy "Hamlet".Hamlet wants to revenge for his father.But when the opportunity is coming,he delays his revenge.The passage analyzes the causes of his delay from Hamlet's characters.  相似文献   

12.
Since the late 1960s,culture has been considered tighter with communication.Culture IS based on the community of communication.Communication involves people and their environment.Thus culture is an important factor in communication.Today with modem economic and technological development,intercultural communication is mole important than ever before. When people from different cultural background communicate with each other,their social stereotype pattern of behavior, their habits of language and thought differ from one another,because these are the possible factors that affect intercultural communications.Culture norms also change,culture may be transferred as signs but we have to study and understand the above carefially.  相似文献   

13.
The thesis mainly discusses the character of the heroine in Charlotte Brontes famous novel "Jane Eyre". There are three major parts-introduction,analysis which is the main body of the thesis,and conclusion.Jane Eyre,the heroine,is a new woman image who requires independence equality and freedom.The thesis just analyzes Janes these rebellious characters through four peroods of her experiences.First,in her childhood,she has shown her rebellious spirit.As an orphan,Jane suffers a lot of misery.Not only her aunt treats her cruelly,her cousins despise her,but also do servants have a prejudice against her.In Janes immature heart, she is unwilling to bear ill treatment.She rebels them bravely.Second,when she studies at Lowood,her rebellious spirit is exposed furtherly.Her view doest stay in Mrs Reeds,instead turns to the whole society.She makes hypocrisy of so-called charity to be discovered completely.At the same time,she declares her independent,equal rebellious thought to her friend-Helldn who endures oppression willingly.Third,she,as a governess in Thornfield Hall falls in love with Rochester-her master.During this period,her thought grows into maturity.Thought she loves him passionately,she never loses her dignity and independence for him.When she knows his mad wife still lives,she makes up her mind to leave him.For she doesnt want to become his mistress.Fourth,her refusal of St Johns proposal of marriage depicts Janes character.She knows John does not love her at all and his purpose of marriage is only to perform his great task missionary.Jane does want to become a sacrifice.She breaks traditional morality,then she goes back to Rochester.  相似文献   

14.
The context of a word consists of the other words surrounding it and the situation in which it is used.When we come across a new word in our reading,instead of looking it up in a dictionary for its definition,we can guess its meaning from its context.  相似文献   

15.
Introduction Whatisculture?Toputitsimply,culturemeansthe totalwayoflifeofaperson.Thissimpledefinitionimplies thatculturereferstothepattersofcustoms,traditions,socialhabits,values,beliefsandlanguageofasociety.As cultureissoinclusive,itincludesvirtuallyeverythingthat agroupofpeoplethink,say,doandmake.Followingthedefinitionofsociologists,theterm culturereferstothetotalpatternofbeliefs,customs,institutions,objects,andcharacterizesthelifeofhuman community.“Cultureconsistsofallthesharedproductsof …  相似文献   

16.
"Midnight"is a poem written by Archibald·Lampman,a Canadian poet,who loved nature very much,but his poor health prevents him from being very active in the outdoor life.So he is often the quite,thoughtful observer of nature in his poems.This article mainly talks about how to appreciate the poem in the following aspects:word selecting,rhyme,sentence structure and atmosphere.After reading this poem,we cannot get rid of the air of horror and mystery."Midnight" reveals another aspect of the nature:wild,rough and unknown.There is something else in the nature that can awe human beings even though we don't know what it is.  相似文献   

17.
Chapter Ⅰ Introduction Sitting in the rocking chair,Carrie dreams her future.This is the deep impression the novel"Sister Carrie"gives us,which is written by Theodore Dreiser(1871-1945),the great American realism writer.  相似文献   

18.
当代中国武术经历了时代的沧桑和变迁,在历经了文化和历史的发展与洗礼之后,依然发展、繁衍至今。在这样一个漫长的过程中,伴随着以社会环境和社会人群价值取向为主的变迁与变化,当代中国武术的发展与当代社会的发展正逐渐的呈现出某些相背离和不和谐的表象。通过研究,我们发觉中国武术中原本一些内在的东西正在不断的被遗忘,正在不断的流逝。本文试从中国武术在当代发展中的问题境域入手,解读中国武术在当今世界和社会中存在的一些问题,希望能够从中找到中国武术发展的"合法性"或"合时性"的内在依据,以挺立中国武术的脊梁。  相似文献   

19.
运用临场观察统计法、访谈法、文献资料法以及归纳法等研究方法,对现阶段国内青少年足球守门员防守技术运用情况进行统计与分析研究.结果表明:判断反应与选位能力不足是青少年守门员防守技术失误的主要原因,预判失误与技术粗糙以及缺乏自信等导致青少年守门员对抗条件下难以有效发挥位置优势,强干扰情况时出击争夺球失误多,重视反应训练和提高接球动作质量要求是提高青少年守门员技术水平的重中之重.  相似文献   

20.
提高体校学生的语素质的主要途径是课堂教学。体校语教师在教学过程中必须根据学生身心特点.设置合理的结构模式,以便顺利实现教学目标。  相似文献   

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