Linear Jointly Disjointness-Preserving Maps Between Rectangular Matrix Spaces
This paper studies pairs of linear maps that preserve the disjointness of matrices in rectangular matrix spaces. We present a complete characterization of all pairs of bijective linear maps that jointly preserve disjointness. Additionally, we apply these results to study maps that preserve specific...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/2/305 |
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| author | Ru-Jheng Li Yu-Ju Lin Ming-Cheng Tsai Ya-Shu Wang |
| author_facet | Ru-Jheng Li Yu-Ju Lin Ming-Cheng Tsai Ya-Shu Wang |
| author_sort | Ru-Jheng Li |
| collection | DOAJ |
| description | This paper studies pairs of linear maps that preserve the disjointness of matrices in rectangular matrix spaces. We present a complete characterization of all pairs of bijective linear maps that jointly preserve disjointness. Additionally, we apply these results to study maps that preserve specific matrix properties, such as the double-zero product property. |
| format | Article |
| id | doaj-art-c674771d27b74b3a92f5f3d435d6dc72 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-c674771d27b74b3a92f5f3d435d6dc722025-01-24T13:40:07ZengMDPI AGMathematics2227-73902025-01-0113230510.3390/math13020305Linear Jointly Disjointness-Preserving Maps Between Rectangular Matrix SpacesRu-Jheng Li0Yu-Ju Lin1Ming-Cheng Tsai2Ya-Shu Wang3Department of Applied Mathematics, National Chung Hsing University, Taichung 40227, TaiwanDepartment of Applied Mathematics, National Chung Hsing University, Taichung 40227, TaiwanGeneral Education Center, National Taipei University of Technology, Taipei 10608, TaiwanDepartment of Applied Mathematics, National Chung Hsing University, Taichung 40227, TaiwanThis paper studies pairs of linear maps that preserve the disjointness of matrices in rectangular matrix spaces. We present a complete characterization of all pairs of bijective linear maps that jointly preserve disjointness. Additionally, we apply these results to study maps that preserve specific matrix properties, such as the double-zero product property.https://www.mdpi.com/2227-7390/13/2/305preserver problemsdisjointnessmatrix spaces |
| spellingShingle | Ru-Jheng Li Yu-Ju Lin Ming-Cheng Tsai Ya-Shu Wang Linear Jointly Disjointness-Preserving Maps Between Rectangular Matrix Spaces Mathematics preserver problems disjointness matrix spaces |
| title | Linear Jointly Disjointness-Preserving Maps Between Rectangular Matrix Spaces |
| title_full | Linear Jointly Disjointness-Preserving Maps Between Rectangular Matrix Spaces |
| title_fullStr | Linear Jointly Disjointness-Preserving Maps Between Rectangular Matrix Spaces |
| title_full_unstemmed | Linear Jointly Disjointness-Preserving Maps Between Rectangular Matrix Spaces |
| title_short | Linear Jointly Disjointness-Preserving Maps Between Rectangular Matrix Spaces |
| title_sort | linear jointly disjointness preserving maps between rectangular matrix spaces |
| topic | preserver problems disjointness matrix spaces |
| url | https://www.mdpi.com/2227-7390/13/2/305 |
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