Invariant subspaces of Toeplitz operators with inner symbolsInvariant subspaces of Toeplitz operators with inner symbolsS. Kim

被引：0

作者：

Sumin Kim ^{[1
]}

机构：

[1] Changwon National University,Department of Mathematics

来源：

Banach Journal of Mathematical Analysis | 2025年 / 19卷 / 3期

关键词：

Vector-valued Hardy spaces; The Beurling–Lax–Halmos Theorem; Invariant subspaces; Inner functions; Toeplitz operators; 46E40; 47A15; 47B35;

D O I：

10.1007/s43037-025-00437-2

中图分类号：

学科分类号：

摘要：

The Beurling’s Theorem characterizes the invariant subspaces of the shift operator on the Hardy space. The shift operator is a special case of Toeplitz operators with inner symbols, that is, the symbols that are inner functions. However, the invariant subspaces of Toeplitz operators with inner symbols were not characterized until now. In this paper we give a complete description of invariant subspaces of Toeplitz operators with inner symbols.

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