Título
On the classification of endomorphisms on infinite-dimensional vector spaces
Autor(es)
Palabras clave
Endomorphism
Infinite-dimensional vector space
Annihilating polynomial
Classification problem
Clasificación UNESCO
Fecha de publicación
2021
Editor
De Gruyter
Citación
Pablos Romo, Fernando. "On the classification of endomorphisms on infinite-dimensional vector spaces" Georgian Mathematical Journal, vol. 28, no. 3, 2021, pp. 445-457. https://doi.org/10.1515/gmj-2020-2054
Resumen
[EN]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.
URI
ISSN
1072-947X. 1572-9176
DOI
Versión del editor
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