Algebraic properties of truncated Toeplitz operators

Algebraic properties of truncated Toeplitz operators
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DOI:
10.7153/oam-01-29
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发表时间:
2007
影响因子:
0.5
通讯作者:
D. Sarason
D. Sarason
中科院分区:
数学4区
文献类型:
--
作者:
D. Sarason

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研究了Toeplitz算子到H2上不变子空间的可积性。这些运营商的几个特征得到,特别是,那些秩一进行了说明。这份文件是部分临时性的。提出了开放性问题。数学学科分类(2000年):47B35、47B32。
Compressions of Toeplitz operators to coinvariant subspaces of H2 are studied. Several characerizations of such operators are obtained; in particular, those of rank one are described. The paper is partly expository. Open questions are raised. Mathematics subject classification (2000): 47B35, 47B32.