On a generalized Jordan normal form of an infinite upper triangular matrix
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.
Keywords:
Infinite-dimensional vector space / Jordan cannonical form / Matrix ringSource:
Linear and Multilinear Algebra, 2019, Latest ArticlesPublisher:
- Taylor & Francis Ltd, United Kingdom
Funding / projects:
- Analysis and algebra with applications (RS-MESTD-Basic Research (BR or ON)-174032)
DOI: 10.1080/03081087.2019.1632783
ISSN: 0308-1087
WoS: 000473511400001
Scopus: 2-s2.0-85067860365
Collections
Institution/Community
GraFarTY - 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 . .