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On a generalized Jordan normal form of an infinite upper triangular matrix

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2019
Authors
Petrović, Zoran
Pucanović, Zoran
Roslavcev, Maja
Kostić, Aleksandra
Article (Accepted Version)
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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 ring
Source:
Linear and Multilinear Algebra, 2019, Latest Articles
Publisher:
  • Taylor & Francis Ltd, United Kingdom
Projects:
  • Analysis and algebra with applications (RS-174032)

DOI: 10.1080/03081087.2019.1632783

ISSN: 0308-1087

WoS: 000473511400001

Scopus: 2-s2.0-85067860365
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URI
http://grafar.grf.bg.ac.rs/handle/123456789/1756
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  • Radovi istraživača / Researcher's publications
  • Катедра за математику, физику и нацртну геометрију
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