Spectral enclosures for some unbounded $n\times n$ operator matrices

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-01-31 DOI:10.1007/s43034-024-00316-1

Yaru Qi, Yuying Li, Yihui Kong

引用次数: 0

Abstract

In this paper, we establish the enclosures for the spectrum of unbounded $n\times n$ operator matrices in a Banach space. For diagonally dominant and off-diagonally dominant operator matrices, we present a new Gershgorin-type results on the localization of the spectrum by using the Schur complements and the quadratic complements, respectively, that no longer requires dominance order of 0 nor $<1$.

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一些无约束 $$n\times n$$ 算子矩阵的谱包围

在本文中，我们建立了巴拿赫空间中无约束（n\times n\ ）算子矩阵频谱的封闭性。对于对角显性和非对角显性算子矩阵，我们分别利用舒尔补全和二次补全，提出了关于谱的局部化的新的格什高林类型结果，不再要求显性阶为 0 或 $<1$。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.

Spectral enclosures for some unbounded \(n\times n\) operator matrices

Abstract