Multipliers and equivalences between Toeplitz kernels

Multipliers and equivalences between Toeplitz kernels
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Toeplitz 核之间的乘数和等价关系

DOI:
10.1016/j.jmaa.2018.05.023
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发表时间:
2016
影响因子:
1.3
通讯作者:
Jonathan R. Partington
Jonathan R. Partington
中科院分区:
数学3区
文献类型:
--
作者:
M. Câmara;Jonathan R. Partington

文献摘要

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Toeplitz算子的核之间的乘子的特征在于测试函数(所谓的核的最大向量);这些最大向量可以很容易地在内部和外部因式分解方面参数化。模型空间的直接应用程序派生。还分析了满射乘子的情形。这些想法被应用到描述两个Toeplitz内核之间的等价性。
Multipliers between kernels of Toeplitz operators are characterised in terms of test functions (so-called maximal vectors for the kernels); these maximal vectors may easily be parametrised in terms of inner and outer factorisations. Immediate applications to model spaces are derived. The case of surjective multipliers is also analysed. These ideas are applied to describing equivalences between two Toeplitz kernels.