On the classification of endomorphisms on infinite-dimensional vector spaces

被引：4

作者：

Pablos Romo, Fernando ^{[1
,2
]}

机构：

[1] Univ Salamanca, Dept Matemat, Plaza Merced 1-4, Salamanca 37008, Spain

[2] Univ Salamanca, Inst Univ Fis Fundamental & Matemat, Plaza Merced 1-4, Salamanca 37008, Spain

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2021年 / 28卷 / 03期

关键词：

Endomorphism; infinite-dimensional vector space; annihilating polynomial; classification problem;

D O I：

10.1515/gmj-2020-2054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to offer a new solution to the problem of the classification of endomorphisms with an annihilating polynomial on infinite-dimensional vector spaces. For these endomorphisms we provide a family of invariants that allows us to classify them when the group of automorphisms acts by conjugation. Moreover, the description of a new method to construct Jordan bases is given.

引用

页码：445 / 457

页数：13

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