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1.
给出H2(Bn)上复合算子具有闭值域的特征,讨论了Toeplitz算子与复合算子的Fredholm性质。  相似文献   

2.
讨论可拓扑生成的L-fuzzy保序算子空间的若干性质,如分解定理、可数性等。  相似文献   

3.
研究了闭极大三角代数的对角不交理想中有限秩算子的性质,并利用这些性质讨论了几种特殊的对角不交理想  相似文献   

4.
LF保序算子空间的ω-连通性   总被引:6,自引:0,他引:6  
黄朝霞 《数学杂志》2007,27(3):343-347
本文研究了LF保序算子空间的ω-连通性问题.利用LF保序算子空间的ω-远域和ω-连通集等概念,讨论了这些概念的特征性质.同时,给出了拓扑生成的F保序算子空间的若干ω-连通性质.  相似文献   

5.
Hardy空间上的有界复合算子   总被引:2,自引:0,他引:2  
曹广福 《数学学报》1997,40(5):777-782
本文讨论了由解析映射φ:Bn→Bm诱导复合算子的有界性;特别地,研究了由保测内映射诱导复合算子的性质.作为推论,得到了W.Rudin[10]中一个公开问题的解答.  相似文献   

6.
LF保序算子空间的ω-导集   总被引:2,自引:0,他引:2  
研究LF保序算子空间的ω-导集问题。利用LF保序算子空间的ω-远域和ω-聚点等概念,系统讨论了ω-导集的特征性质。  相似文献   

7.
李绍宽 《数学学报》1991,34(3):365-371
本文主要讨论了极大联合数值域的一些性质。Calkin代数上的初等算子的值域的闭性的几个问题,将广义导算子与B(H)上初等算子的一些结果作了推广。  相似文献   

8.
算子多项式的若干性质   总被引:1,自引:0,他引:1  
本文讨论了多元算子多项式的几种保正号的性质,并由此得出关于正规算子不等式的转化定理。  相似文献   

9.
王鹏辉  张旭 《中国科学:数学》2010,40(12):1187-1196
本文给出了几个关于一般赋值域上Banach 空间上的算子的值域包含定理. 这些定理说明: 算子的值域包含、算子的强弱以及算子的分解之间有着重要的联系. 我们发现, 这些结果强烈地依赖于空间的连续延拓性质. 在经典情况下, Hahn-Banach 定理保证了连续延拓性质自然满足; 然而, 在非 archimedean 范畴下, 这种性质可能并不满足. 我们还给出一些反例说明, 这些结果在某种意义下已经不能再改进了.  相似文献   

10.
在Fuzzy保序算子空间的基础上,引进了可拓扑生成的Fuzzy保序算子空间的概念,讨论了其若干性质,如分解定理、连通性等.  相似文献   

11.
In this paper we consider a special class of continuous bilinear operators acting in a product of Banach algebras of integrable functions with convolution product. In the literature, these bilinear operators are called ‘zero product preserving’, and they may be considered as a generalization of Lamperti operators. We prove a factorization theorem for this class, which establishes that each zero product preserving bilinear operator factors through a subalgebra of absolutely integrable functions. We obtain also compactness and summability properties for these operators under the assumption of some classical properties for the range spaces, as the Dunford–Pettis property or the Schur property and we give integral representations by some concavity properties of operators. Finally, we give some applications for integral transforms, and an integral representation for Hilbert–Schmidt operators.  相似文献   

12.
In this paper, we characterize surjective completely bounded disjointness preserving linear operators on Fourier algebras of locally compact amenable groups. We show that such operators are given by weighted homomorphisms induced by piecewise affine proper maps.  相似文献   

13.
引入了Hilbert空间H中广义框架的非交性、强非交性,讨论了它们的一些性质;并且引入了保非交算子、强保非交算子,证明了酉算子、可逆算子是强保非交算子,下有界算子、余等距算子是保非交算子.  相似文献   

14.
A solution to a problem on invertible disjointness preserving operators   总被引:1,自引:0,他引:1  
We construct an invertible disjointness preserving operator on a normed lattice such that is not disjointness preserving.

  相似文献   


15.
本文讨论了Szasz-Kantorovich算子的保形问题,得到了算子在保持函数曲线几何性质方面的一系列结果,结果表明该算子在保形方面与Szasz-Mirakjan算子是有差异的。  相似文献   

16.
We constructively prove (i.e., in ZF set theory) a decomposition theorem for certain order bounded disjointness preserving operators between any two Riesz spaces, real or complex, in terms of the absolute value of another order bounded disjointness preserving operator. In this way, we constructively generalize results by Abramovich, Arensen and Kitover (1992), Grobler and Huijsmans (1997), Hart (1985), Kutateladze, and Meyer-Nieberg (1991).

  相似文献   


17.
The paper is aimed at demonstrating that some properties of order bounded operators in vector lattices are just Boolean valued interpretations of elementary properties of order bounded functionals. We present the general machinery and illustrate it with a few new results on order bounded disjointness preserving and n-disjoint operators.  相似文献   

18.
We introduce a notion of disjointness for finitely many hypercyclic operators acting on a common space, notion that is weaker than Furstenberg's disjointness of fluid flows. We provide a criterion to construct disjoint hypercyclic operators, that generalizes some well-known connections between the Hypercyclicity Criterion, hereditary hypercyclicity and topological mixing to the setting of disjointness in hypercyclicity. We provide examples of disjoint hypercyclic operators for powers of weighted shifts on a Hilbert space and for differentiation operators on the space of entire functions on the complex plane.  相似文献   

19.
讨论了 Meyer-Knig and Zeller算子的保形逼近问题 ,我们用基于算子特殊结构的分析方法得到了该算子的保单调性 .保凸性以及保形逆定理等保形性质 .  相似文献   

20.
We define and study a new family of univariate rational Bernstein operators. They are positive operators exact on linear polynomials. Moreover, like classical polynomial Bernstein operators, they enjoy the traditional shape preserving properties and they are total variation diminishing. Finally, for a specific class of denominators, some convergence results are proved, in particular a Voronovskaja theorem, and some error bounds are given.  相似文献   

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