A SURVEY OF SOME RECENT RESULTS ON TRUNCATED TOEPLITZ OPERATORS

A SURVEY OF SOME RECENT RESULTS ON TRUNCATED TOEPLITZ OPERATORS
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截断托普利茨算子的一些最新结果的调查

DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
D. Timotin
D. Timotin
中科院分区：
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文献类型：
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作者：
I. Chalendar;And EMMANUEL FRICAIN;D. Timotin

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。截断Toeplitz算子是Toeplitz算子在模型空间上的压缩，在过去的几年里受到了广泛的关注。这篇综述介绍了几个最新的结果，这些结果将这些算子的有界性、紧性和谱与其符号的性质联系起来。我们还将这些事实与与这些算子相关的自然嵌入测度的性质联系起来。
. Truncated Toeplitz operators are compressions of Toeplitz operators on model spaces; they have received much attention in the last years. This survey article presents several recent results, which relate boundedness, compactness, and spectra of these operators to properties of their symbols. We also connect these facts with properties of the natural embedding measures associated to these operators.