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.
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页码：445 / 457
页数：13
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