非对称对偶截断 Toeplitz算子的谱

The spectrum of asymmetric dual truncated Toeplitz operators

摘要

文章研究不同模空间正交补空间上的非对称对偶截断Toeplitz算子的谱性质,利用谱分析的方法,证明了非对称对偶截断 Toeplitz算子的谱等于其本性谱,也等于其符号函数的本性值域.

Abstract

This paper investigates the spectral properties of asymmetric dual truncated Toeplitz operators on the orthogonal complement of model spaces. By employing spectral analysis methods, it is proved that the spectrum of an asymmetric dual truncated Toeplitz operator is equal to its essential spectrum, and also equal to the essential range of its symbol function.

关键词

非对称对偶截断 Toeplitz算子 / 谱 / 本性谱

Key words

asymmetric dual truncated Toeplitz operator / spectrum / essential spectrum

参考文献

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基金资助

国家自然科学基金项目(12271134)