共查询到20条相似文献,搜索用时 46 毫秒
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本文利用BDF定理以及构造技巧证明了关于本质正规算子的Pearcy-Salinas定理.作为此定理的应用,证明了本质正规算子可以通过迹类算子的小扰动成为不可约算子. 相似文献
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符号为有限Blaschke积的Toeplitz算子的换位与约化 总被引:1,自引:0,他引:1
本文刻划了Hardy空间或Bergman空间上符号为有限Blaschke积的Toeplitz算子的换位,并讨论了其完全可约性. 相似文献
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本文刻划了Hardy空间或Bergman空间上符号为有限Blaschke积的Toeplitz算子的换位,并讨论了其完全可约性。 相似文献
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本文刻划了本质正规算子模C2的近似酉等价,并且改进了Carry和Pincus在[1]中的一些结果。 相似文献
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Normal matrices in which all submatrices are normal are said to be completely normal. We characterize this class of matrices, determine the possible inertias of a particular completely normal matrix, and show that real matrices in this class are closed under (general) Schur complementation. We provide explicit formulas for the Moore–Penrose inverse of a completely normal matrix of size at least four. A result on irreducible principally normal matrices is derived as well. 相似文献
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In this paper, we show that the hyponormal Toeplitz operator Tφ with trigonometric polynomial symbol φ is either normal or completely non-normal. Moreover, if Tφ is non-normal, then Tφ has a dense set of cyclic vectors. Some general conditions are also considered. 相似文献
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本文研究了Dirichlet空间上的Toeplitz算子,部分的回答了文[1]中的问题,给出了关于Dirichlet空间上Toeplitz算子的一个稠密性定理。 相似文献
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In this paper we study Toeplitz operators on Dirichlet spaces and describe the boundedness and compactness of Toeplitz operators
on Dirichlet spaces. Meanwhile, we give density theorems for Toeplitz operators on Dirichlet spaces
Received December 22,1998, Revised March 27, 2000, Accepted June 27, 2000 相似文献
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解析函数的Banach空间上之复合算子 总被引:2,自引:0,他引:2
本文研究了一类解析函数的Banach空间X上之复合算子,这类空间包含了Bloch空间,并且可看作Bergman空间L1a(D)中具有原子分解的解析函数的对偶空间.我们刻划了这类空间上紧复合算子及Fredholm复合算子的特征,此外,还研究了具有闭值域的复合算子. 相似文献
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Dirichlet空间上Toeplitz算子的紧性 总被引:1,自引:0,他引:1
本文给出了 Dirichlet空间上 Toelpitz算子为紧算子的充要条件,并证明具有 C1-符号的 Toeplitz算子为紧算子当且仅当它为零算子,当且仅当符号的边值为零. 相似文献
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Ying-Fen Lin 《Journal of Mathematical Analysis and Applications》2011,382(1):469-473
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
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A Completely Irreducible Compact Perturbation of a Class of Essentially Normal OperatorsJiangChunlan(蒋春澜)CaoGuangfu(曹广福)SunSh... 相似文献
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