A note on a generalized Jordan form of an infinite upper triangular matrix

IF 0.9 4区数学 Q2 MATHEMATICS

Linear & Multilinear Algebra Pub Date : 2024-02-21 DOI:10.1080/03081087.2024.2314210

Adel Abyzov, Alexander Maklakov

引用次数: 0

Abstract

In this paper, several equivalent conditions for the existence of a generalized Jordan form for matrices of locally nilpotent linear operators acting on an infinite countable dimensional vector spa...

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关于无穷上三角矩阵的广义约旦形式的说明

本文提出了作用于无限可数维向量空间的局部零能线性算子矩阵的广义乔丹形式存在的几个等价条件。

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

Linear & Multilinear Algebra 数学-数学

CiteScore

2.70

自引率

18.20%

发文量

175

审稿时长

4-8 weeks

期刊介绍： Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.