Toeplitz kernels and model spaces

被引：9

作者：

Caamara, M. Cristina ^{[1
]}

Partington, Jonathan R. ^{[2
]}

机构：

[1] Univ Lisbon, Ctr Math Anal Geometry & Dynam Syst, Inst Super Tecn, Av Rovisco Pais, P-1049001 Lisbon, Portugal

[2] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England

来源：

DIVERSITY AND BEAUTY OF APPLIED OPERATOR THEORY | 2018年 / 268卷

关键词：

Toeplitz kernel; model space; nearly-invariant subspace; minimal kernel; multiplier; Carleson measure; INVARIANT SUBSPACES; DOUGLAS; RUDIN;

D O I：

10.1007/978-3-319-75996-8_7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We review some classical and more recent results concerning kernels of Toeplitz operators and their relations with model spaces, which are themselves Toeplitz kernels of a special kind. We highlight the fundamental role played by the existence of maximal vectors for every nontrivial Toeplitz kernel.

引用

页码：139 / 153

页数：15

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