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Linear Jointly Disjointness-Preserving Maps Between Rectangular Matrix Spaces

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ru-Jheng Li & Yu-Ju Lin & Ming-Cheng Tsai & Ya-Shu Wang, 2025. "Linear Jointly Disjointness-Preserving Maps Between Rectangular Matrix Spaces," Mathematics, MDPI, vol. 13(2), pages 1-10, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:2:p:305-:d:1570067
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