NDLI: On the classification of endomorphisms on infinite-dimensional vector spaces

Content Provider	Scilit
Author	Romo, Fernando Pablos
Copyright Year	2020
Abstract	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.
Related Links	http://www.degruyter.com/downloadpdf/j/gmj.ahead-of-print/gmj-2020-2054/gmj-2020-2054.xml
Ending Page	457
Page Count	13
Starting Page	445
ISSN	1072947X
e-ISSN	15729176
DOI	10.1515/gmj-2020-2054
Journal	Georgian Mathematical Journal
Issue Number	3
Volume Number	28
Language	English
Publisher	Walter de Gruyter GmbH
Publisher Date	2021-06-01
Access Restriction	Open
Subject Keyword	Georgian Mathematical Journal Logic Endomorphism Infinite-dimensional Vector Space Annihilating Polynomial Classification Problem Journal: Georgian Mathematical Journal, Issue- 2
Content Type	Text
Resource Type	Article
Subject	Mathematics

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On the classification of endomorphisms on infinite-dimensional vector spaces