| Toeplitz算子的Fredholm性质 |
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| 引用本文： | 卢玉峰. Toeplitz算子的Fredholm性质[J]. 东北师大学报(自然科学版), 1996, 0(4): 18-20 |
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| 作者姓名： | 卢玉峰 |
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| 作者单位： | 东北师范大学数学系 |
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| 摘 要： | 证明了以解析函数为符号的Ｔｏｅｐｌｉｔｚ算子是可逆的当且仅鞭符号可逆，描述了解析Ｔｏｅｐｌｉｔｚ算子是Ｆｒｅｄｈｏｌｍ算子时的符号特征。给出了一类符号的Ｔｏｅｐｌｉｔｚ算子是Ｆｒｅｄｈｏｌｍ算子地一些等价条件，指出紧Ｈａｎｋｅｌ算子符号是闭子代数。
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| 关 键 词： | Bergman空间 Toeplit算子 Fredholm性质 |
The Fredholm Properity of Toeplitz Operators |
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| Lu Yufeng. The Fredholm Properity of Toeplitz Operators[J]. Journal of Northeast Normal University (Natural Science Edition), 1996, 0(4): 18-20 |
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| Authors: | Lu Yufeng |
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| Abstract: | It is proved that Toeplitzs with analytic symbols to be inverse iff symbots are inverse. It gives the Fredholm Theory of Toeplitz operators on Bergman Space with analytic Symbols and gets equivalent conditions for a class of Toeplitzs to be Fredholm operators. It point out that symbols with compact Hankel operatohs are closed subalgehbras. |
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| Keywords: | Bergman spaces Toeplitz operators Fredholm properties |
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