| Title: | Positive commutators of positive square-zero operators |
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| Authors: | ID Drnovšek, Roman (Author)
ID Kandić, Marko (Author) |
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| Files: |  PDF - Presentation file, download (577,56 KB)
MD5: E4773E280489A4CAE36EBB6DC90C5A6C
 URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0024379526001151
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | In this paper we first consider the question which nonnegative matrices are commutators of nonnegative square-zero matrices. Then, we treat infinite-dimensional analogues of these results for operators on the Banach lattices $L^p[0,1]$ and $\ell^p(1\le p<\infty)$. In the last setting we need to extend the notion of the nonnegative rank of a nonnegative matrix. |
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| Keywords: | Banach lattices, positive operators, nonnegative matrices, commutators |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.07.2026 |
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| Year of publishing: | 2026 |
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| Number of pages: | str. 56-67 |
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| Numbering: | Vol. 740 |
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| PID: | 20.500.12556/DiRROS-28966  |
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| UDC: | 517.9 |
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| ISSN on article: | 0024-3795 |
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| DOI: | 10.1016/j.laa.2026.03.015 |
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| COBISS.SI-ID: | 275200771 |
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| Note: |
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| Publication date in DiRROS: | 15.04.2026 |
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| Views: | 156 |
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| Downloads: | 107 |
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| Metadata: |    |
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