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
Projects:
- Analysis and algebra with applications (RS-174032)
DOI: 10.1080/03081087.2019.1632783
ISSN: 0308-1087