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https://research.matf.bg.ac.rs/handle/123456789/138| Title: | On a generalized Jordan form of an infinite upper triangular matrix | Authors: | Kostić, Aleksandra Petrović, Zoran Pucanović, Zoran S. Roslavcev, Maja |
Affiliations: | Algebra and Mathematical Logic Algebra and Mathematical Logic Algebra and Mathematical Logic |
Keywords: | 15A03;15A21;15A99;Infinite-dimensional vector space;Jordan cannonical form;matrix ring | Issue Date: | 1-Jan-2021 | Rank: | M21 | Journal: | Linear and Multilinear Algebra | 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. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/138 | ISSN: | 03081087 | DOI: | 10.1080/03081087.2019.1632783 |
| Appears in Collections: | Research outputs |
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