Any square matrix over an algebraically closed field has a Jordan normal form. In this paper, we prove that every infinite upper triangular matrix over an arbitrary field has a generalized infinite Jordan normal form.
Keywords:
Infinite-dimensional vector space / Jordan cannonical form / Matrix ring
Source:
Linear and Multilinear Algebra, 2019, Latest Articles
TY - JOUR
AU - Petrović, Zoran
AU - Pucanović, Zoran
AU - Roslavcev, Maja
AU - Kostić, Aleksandra
PY - 2019
UR - https://grafar.grf.bg.ac.rs/handle/123456789/1756
AB - Any square matrix over an algebraically closed field has a Jordan normal form. In this paper, we prove that every infinite upper triangular matrix over an arbitrary field has a generalized infinite Jordan normal form.
PB - Taylor & Francis Ltd, United Kingdom
T2 - Linear and Multilinear Algebra
T1 - On a generalized Jordan normal form of an infinite upper triangular matrix
VL - Latest Articles
DO - 10.1080/03081087.2019.1632783
ER -
@article{
author = "Petrović, Zoran and Pucanović, Zoran and Roslavcev, Maja and Kostić, Aleksandra",
year = "2019",
abstract = "Any square matrix over an algebraically closed field has a Jordan normal form. In this paper, we prove that every infinite upper triangular matrix over an arbitrary field has a generalized infinite Jordan normal form.",
publisher = "Taylor & Francis Ltd, United Kingdom",
journal = "Linear and Multilinear Algebra",
title = "On a generalized Jordan normal form of an infinite upper triangular matrix",
volume = "Latest Articles",
doi = "10.1080/03081087.2019.1632783"
}
Petrović, Z., Pucanović, Z., Roslavcev, M.,& Kostić, A.. (2019). On a generalized Jordan normal form of an infinite upper triangular matrix. in Linear and Multilinear Algebra
Taylor & Francis Ltd, United Kingdom., Latest Articles.
https://doi.org/10.1080/03081087.2019.1632783
Petrović Z, Pucanović Z, Roslavcev M, Kostić A. On a generalized Jordan normal form of an infinite upper triangular matrix. in Linear and Multilinear Algebra. 2019;Latest Articles.
doi:10.1080/03081087.2019.1632783 .
Petrović, Zoran, Pucanović, Zoran, Roslavcev, Maja, Kostić, Aleksandra, "On a generalized Jordan normal form of an infinite upper triangular matrix" in Linear and Multilinear Algebra, Latest Articles (2019),
https://doi.org/10.1080/03081087.2019.1632783 . .
