SPECTRAL RESOLUTIONS FOR NON-SELF-ADJOINT BLOCK CONVOLUTION OPERATORS

被引：0

作者：

Zalot, Ewelina ^{[1
]}

机构：

[1] AGH Univ Sci & Technol, Fac Appl Math, Al A Mickiewicza 30, PL-30059 Krakow, Poland

来源：

OPUSCULA MATHEMATICA | 2022年 / 42卷 / 03期

关键词：

spectral operators; chains; triangular decomposition; Laurent operators; Jacobi matrices;

D O I：

10.7494/OpMath.2022.42.3.459

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper concerns the spectral theory for a class of non-self-adjoint block convolution operators. We mainly discuss the spectral representations of such operators. It is considered the general case of operators defined on Banach spaces. The main results are applied to periodic Jacobi matrices.

引用

页码：459 / 487

页数：29

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