FREDHOLMNESS

作品数：5被引量：1H指数：1
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相关领域：理学更多>>
相关期刊：《Acta Mathematica Sinica,English Series》《Journal of Mathematical Research with Applications》《Acta Mathematica Scientia》更多>>
相关基金：国家自然科学基金更多>>
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Toeplitz Products on Bergman–Sobolev Spaces over the Unit Polydisk
《Acta Mathematica Sinica,English Series》2021年第9期1349-1366,共18页Li HE 
Supported by National Natural Science Foundation of China(Grant No.11871170);the open project of Key Laboratory,School of Mathematical Sciences,Chongqing Normal University(Grant No.CSSXKFKTM202002)。
In this paper,we characterize the compactness and Fredholmness of Toeplitz operators and Toeplitz products on Bergman-Sobolev spaces over the unit polydisk.We also calculate the essential norm of finite sums of finite...
关键词：Bergman–Sobolev space Toeplitz products compactness essential norm FREDHOLMNESS 
M_(φ)-type Submodules over the Bidisk
《Acta Mathematica Sinica,English Series》2021年第5期805-824,共20页Guo Zeng YANG Chang Hui WU Tao YU 
Supported by NNSF of China(Grant No.11971087)。
Let H^(2)(D^(2))be the Hardy space over the bidisk D^(2),and let M_(φ)=[(z-φ(w))^(2)]be the submodule generated by(z-φ(w))^(2),whereφ(w)is a function in H∞(w).The related quotient module is denoted by N_(φ)=H^(2...
关键词：Submodules Beurling type theorem compression operators FREDHOLMNESS 
WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES被引量：1
《Acta Mathematica Scientia》2018年第4期1427-1440,共14页Maofa WANG Xingxing YAO Fangwen DENG 
partially supported by NSFC(11771340,11701434,11431011,11471251,11771441)
In this paper, we study weighted composition operators on the Hilbert space of Dirichlet series with square summable coefficients. The Hermitianness, Fredholmness and invertibility of such operators are characterized,...
关键词：weighted composition operator Hermitianness FREDHOLMNESS INVERTIBILITY SPECTRUM 
Fredholm Weighted Composition Operators on Hardy Space
《Journal of Mathematical Research with Applications》2013年第3期361-364,共4页Liankuo ZHAO 
Supported by the National Natural Science Foundation of China(Grant No.11201274);Young Science Foundation of Shanxi Province(Grant No.2010021002-2)
This paper characterizes bounded, Fredholm weighted composition operators on Hardy space. As an application, the Fredholm index of such operators is obtained.
关键词：Hardy space weighted composition operator Fredholmness. 
Normality Preserving Multiplication Operators
《Acta Mathematica Sinica,English Series》1995年第4期389-398,共10页
the Science Foundation of Zhejiang Province and NSF.
We show that a multiplication operator Φ(T)=ATB is normality preserving if and only if it is hyponormality preserving,if and only if it is either of the form A=f(?)g,B=h(?)f, or A=D,B=λD~* for some λ∈C and D E B(H...
关键词：Multiplication operators Normality preserving Fredholmness preserving 
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