| Bergman空间上的加权复合算子 |
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| 引用本文： | 王汉庆,曾光菊,周锋,柏宏斌.Bergman空间上的加权复合算子[J].四川轻化工学院学报,2010(1):28-30. |
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| 作者姓名： | 王汉庆 曾光菊 周锋 柏宏斌 |
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| 作者单位： | [1]四川理工学院教务处,四川自贡643000 [2]四川理工学院理学院,四川自贡643000 |
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| 摘 要： | 文章首先给出了Bergman空间La^2上加权复合算子，通过研究该空间上酉加权复合算子和紧自伴加权复合算子的谱、特征向量以及特征子空间，进一步完善了Bergman空间La^2上加权复合算子的理论。
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| 关 键 词： | 加权复合算子 酉算子 特征向量 特征子空间 谱 |
Weighted Composition Operator on Bergman Space |
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| WANG Han-qing,ZENG Guang-ju,ZHOU Feng,BAI Hong-bin.Weighted Composition Operator on Bergman Space[J].Journal of Sichuan Institute of Light Industry and Chemical Technology,2010(1):28-30. |
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| Authors: | WANG Han-qing ZENG Guang-ju ZHOU Feng BAI Hong-bin |
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| Affiliation: | 1. Administration Office, Sichuan University of Science ＆ Engineering, Zigong 643000, China ; 2. School of Science, Sichuan University of Science ＆ Engineering, Zigong 643000, China) |
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| Abstract: | The weighted composition operator compactness on the Bergman space is charactered in the paper. Firstly, the spectrum, eigenvalues and eigenspaces of unitary weighted composition operator are computed. Secondly, the eigenvector and compute spectrum of compact self-adjoint weighted composition operator on Bergman space are discussed. |
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| Keywords: | weighted composition operator unitary operator eigenvalue eigenspace spectrum |
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