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1.
用R(L)-值下半连续函数引入了R(L)型诱导空间的概念.讨论了它的一些基本性质.证明了R(L)型诱导空间保持笛卡尔积;(L^x,δ)是连通空间当且仅当其R(L)型诱导空间是连通空间,给出了LF拓扑空间集与R(L)型诱导空间集之间建立的映射和生成映射ω的可交换性.  相似文献   

2.
Der—ChenChang首先引入了广义Calderon—Zygmund算子并得到了它在L^p(ω)空间上的有界性,其中ω∈A1。李俊峰研究了广义Calderon—Zygmund算子T在加权Hardy空间,加权L^∞空间及加权BMO空间上的有界性,同时给出了对应的T(1)定理。该文证明了由BMO函数生成的广义Calderon—Zygmtmd算子交换子在L^p(R^n)空间上的有界性,同时也得到了其端点估计。  相似文献   

3.
线性算子[1]是传统泛函分析中一类重要算子。其应用甚为广泛。本文通过Fuzzy算子、Fuzzy向量空间以及常规线性算子等概念引入Fuzzy线性算子的概念,并对这类算子的性质作了深入探讨,对其应用作了介绍。  相似文献   

4.
首先利用简单的复变函数与泛函分析的知识研究了定义在圆环Ω={Z∈C;r<|z|<1,0<r<r<1}上的Bergman空间的一些性质,得到了一些类似于定义在单位国企D={Z∈C;|z|<1}这个单连通域上的Bergman空间的性质.然后,在文[2][3]的基础上,由Bergman度量的一些已有结果,给出了圆环Ω的分解,为以后研究二连通域上的算子理论铺平了道路.  相似文献   

5.
从Nα到Bμ空间的复合算子   总被引:1,自引:1,他引:0  
介绍解析函数空间H(D)上的两个子空间Nα和Bμ构造Nα中的检测函数,结合解析函数φ:D→D的函数性质,研究了从Nα到Bμ及其子空间Bμ,0刚之间的复合算子的有界性与紧性.  相似文献   

6.
本文在Dirichlet空间上,对具有符号在H上的Toeplitz算子和小Hankel算子进行研究,考察了其代数性质,并改进了文献[2]中的一些结果.  相似文献   

7.
局部道路连通空间   总被引:2,自引:0,他引:2  
给出具有道路连通基的一类拓扑空间,即局部道路连通空间,并给出它的拓扑结构和拓扑性质。  相似文献   

8.
设H是Hilbert空间,{Wi}i∈I是H中的子空间框架。构造了一个算子序列Tn(.)=∑i∈Inv2iUn-2PnπWi(·),运用有限维逼近方法,证明了算子序列Tn在强拓扑意义下收敛于子空间框架算子SW,v之逆SW-,1v.  相似文献   

9.
引入了Lipschitz-α对偶算子及距离空间(D,d)的Lipschitz-α对偶空间,证明了T*L-α为D*L-α上的有界线性算子,并讨论了Lipschitz-α对偶算子的若干性质.  相似文献   

10.
在剩余格上引入了准滤子和剩余格间的蕴涵同态的概念,给出了准滤子的若干性质;讨论了准滤子与滤子间的关系;指出了剩余格上全体准滤子构成一个拓扑;证明了剩余格之间的同构映射是相应拓扑空间之间的一个同胚.  相似文献   

11.
本文给出k连续映射和k道路连通性的定义.讨论^连续映射等价刻画和性质,证明了k连续满映射保持k连通性和k道路连通性,进而研究k道路连通性的基本性质,证明了k道路连通性是k连通的.k道路连通性是同胚不变性和有限可积;最后讨论k道路连通分支。  相似文献   

12.
复合算子是由单位圆盘上的解析自映射定义的,它的中心问题之一是研究作用于解析函数空间的两个不同Banach子空间上的复合算子的性质与解析自映射的性质间的联系.通过构造检验函数,研究了不同函数空间之间的复合算子的有界性与紧性的问题,给出了从Qk空间到Bloch型空间及其闭子空间上的复合算子的有界性与紧性的充要条件.  相似文献   

13.
It is well documented that cyberbullying can lead to adverse mental health outcomes. Separate research shows that higher levels of social connectedness may result in more positive mental health outcomes, however, the relationship between social connectedness and mental health in the face of cyberbullying is not yet fully understood. An online survey of 229 adolescents (aged 12–17 years) was conducted, and we examined experiences of cyberbullying, levels of social connectedness, depression, anxiety, and stress. Structural equation modeling suggested that social connectedness may act as a protective buffer against the negative mental health outcomes associated with cybervictimization. This paper highlights the fact that social connectedness plays an important role for young people, the more frequently they are victimized. The implications of these findings are far reaching and suggest that understanding the role of social connectedness may be crucial to interventions that seek to mitigate the effects of cyberbullying.  相似文献   

14.
证出log-弱亚正规算子T具有性质(β),并给出拟相似的log-弱亚正规算子T1和T2满足σ(T1)=σ(T2),σe(T1)=σe(T2)。最后还得到了T的谱的一些性质。  相似文献   

15.
The present study examined the role of school connectedness in mediating the relations of social skills and school climate of diversity (SCD) to life satisfaction (LS) among school‐aged children. This study also investigated whether there is any gender difference in relationships. Participants included 873 elementary school students in Grades 4 through 6. The results of the structural equation modeling supported the partial mediating role of school connectedness, indicating that social skills and SCD lead to LS both directly and indirectly through enhanced school connectedness. Multigroup analysis demonstrated that the direct path from the SCD to LS was significant only for boys, while other paths are invariant across gender. Implications are addressed for school‐based interventions to promote school connectedness and LS.  相似文献   

16.
首先给出了模糊集的覆盖上、下近似算子的定义,讨论了它们的简单性质.其次,覆盖近似空间中,由于覆盖粗糙不等式在进行并、交运算时会使信息丢失,因而讨论了覆盖粗糙不等式取等号的充分条件.  相似文献   

17.
本文根据连通性及弧连通性定义,以及有关的定理,利用实数空间的性质,具体讨论了不可数的可数补拓扑的连通性及弧连通性.  相似文献   

18.
首先对Hilbert空间和Banach空间中的伴随算子性质作出比较.虽然它们的运算具有一定的相似性,但由于各自的伴随的定义不同,又显示出它们的差异性.然后通过建立共轭线性等距映射把两种伴随算子联系起来.最后通过建立典型嵌入映射建立起赋范空间中有界线性算子与其二次对偶算子的关系.  相似文献   

19.
People in industrialized countries may be losing their connection with nature. The Get to Know Program (Get to Know) is a multi-faceted program aimed at encouraging direct connection with nature through a variety of activities (observations of wildlife, hiking, creative arts, and special events), specifically among youth. Three studies assessed the effects of three Get to Know program activities on youth’s implicit connectedness with nature (measured using a computer based game). Participants were youth recruited from southern California schools or youth organizations. Participation in the Get to Know Program’s Creative Arts Contest was associated with increased implicit connectedness with nature. However, participation in the Get to Know Natural Treasure Adventure and Virtual Hike did not have an effect on connectedness with nature. Implications of these findings are important for agencies seeking to find effective tools for outreach focused on connecting participants with nature.  相似文献   

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