| Bergman空间上Toeplitz算子和Hankel算子的主要性质 |
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| 引用本文： | 徐胜芝.Bergman空间上Toeplitz算子和Hankel算子的主要性质[J].复旦学报(自然科学版),1992(4). |
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| 作者姓名： | 徐胜芝 |
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| 作者单位： | 复旦大学数学研究所 1989届硕士研究生 |
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| 摘 要： | 研究了Toeplitz算子和Hankel算子的有界性、紧性、Schattern-类和谱的性质,给出了算子有界、紧等一些充分、充要条件.
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| 关 键 词： | 希尔伯特空间 紧算子 线性算子理论 Toeplitz算子 Hankel算子 有界性 Schattern-类 |
THE MAIN PROPERTIES OF TOEPLITZ AND HANKEL OPERATORS ON THE BERGMAN SPACE OVER THE DISC |
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| Xu Shengzhi.THE MAIN PROPERTIES OF TOEPLITZ AND HANKEL OPERATORS ON THE BERGMAN SPACE OVER THE DISC[J].Journal of Fudan University(Natural Science),1992(4). |
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| Authors: | Xu Shengzhi |
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| Institution: | Institute of Mathematics |
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| Abstract: | In this paper we study the boundedness, compactness, Schattern-class and the spectrum of Toeplitz and Hankel operators on the Bergman space over the disc. Some sufficient, necessary and sufficient conditions are given. |
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| Keywords: | Hilbert space compact operator linear operator theory Toeplitz operator Hankel operator boundedness Schattern-class |
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