| 离散交换群上Toeplitz 算子的代数性质 |
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| 引用本文： | 郭训香.离散交换群上Toeplitz 算子的代数性质[J].数学研究及应用,2008,28(2):396-402. |
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| 作者姓名： | 郭训香 |
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| 作者单位： | 赣南师范学院数学与计算机学院, 江西 赣州 341000 |
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| 摘 要： | 广泛的意义下定义 Toeplitz 算子, 给出了Toeplitz 算子乘积仍为Toeplitz 算子的充分必要条件, Toeplitz算子是正规算子的充分必要条件以及 Toeplitz 算子可交换的一个必要条件,从而推广了经典 Toeplitz 算子的相应结果.
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| 关 键 词： | discrete commutative group almost stable subset Toeplitz operator hyponormal operator Hankle operator analytic Toeplitz operator. 离散 交换群 Toeplitz Operators 算子 代数性质 Groups Commutative Discrete Properties necessary condition commutative established product Toeplitz operators sufficient condition normal operator defined results generalized Paper |
| 收稿时间： | 2006/3/15 0:00:00 |
| 修稿时间： | 2006年3月15日 |
Algebraic Properties of Toeplitz Operators on Discrete Commutative Groups |
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| GUO Xun Xiang.Algebraic Properties of Toeplitz Operators on Discrete Commutative Groups[J].Journal of Mathematical Research with Applications,2008,28(2):396-402. |
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| Authors: | GUO Xun Xiang |
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| Institution: | Department of Mathematics and Computer Science,Cannan Normal University,Jiangxi 341000,China |
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| Abstract: | In this Paper,a generalized Toeplitz operator is defined and some of results about the classical Toeplitz operator are generalized.In particular,we obtain the necessary and sufficient condition for the product of two such Toeplitz operators to still be Toeplitz operator and the necessary and sufficient condition for such Toeplitz operator to be normal operator.Finally,a necessary condition for two such Toeplitz operators to be commutative is established. |
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| Keywords: | discrete commutative group almost stable subset Toeplitz operator hyponormal operator Hankle operator analytic Toeplitz operator |
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