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https://research.matf.bg.ac.rs/handle/123456789/1702| Title: | Bases of spaces of matrices satisfying rank conditions | Authors: | Petrović, Zoran | Affiliations: | Algebra and Mathematical Logic | Keywords: | Non-singular bilinear maps;Rank condition;Spaces of matrices | Issue Date: | 1-Jan-2009 | Rank: | M22 | Publisher: | Taylor and Francis | Journal: | Linear and Multilinear Algebra | Abstract: | Motivated by the problem concerning the existence of non-singular bilinear maps, vector spaces of matrices consisting of matrices with rank bounded below are investigated. It is shown that bases for such spaces of maximum dimension can be chosen in such a way to consist of matrices of the minimal rank. An estimate of the ranks of matrices in particular types of bases for maximal such spaces is also given. This extends previously known results which were valid only in the case of spaces consisting of matrices of rank not equal to one. © 2009 Taylor & Francis. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1702 | ISSN: | 03081087 | DOI: | 10.1080/03081080802316198 |
| Appears in Collections: | Research outputs |
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