Linear Jointly Disjointness-Preserving Maps Between Rectangular Matrix Spaces

Ru-Jheng Li, Yu-Ju Lin, Ming-Cheng Tsai and Ya-Shu Wang ()
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Ru-Jheng Li: Department of Applied Mathematics, National Chung Hsing University, Taichung 40227, Taiwan
Yu-Ju Lin: Department of Applied Mathematics, National Chung Hsing University, Taichung 40227, Taiwan
Ming-Cheng Tsai: General Education Center, National Taipei University of Technology, Taipei 10608, Taiwan
Ya-Shu Wang: Department of Applied Mathematics, National Chung Hsing University, Taichung 40227, Taiwan

Mathematics, 2025, vol. 13, issue 2, 1-10

Abstract: 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.

Keywords: preserver problems; disjointness; matrix spaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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