Work

Linear Jointly Disjointness-Preserving Maps Between Rectangular Matrix Spaces

Year: 2025

Type: article

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.

Source: Mathematics

DOI: 10.3390/math13020305

Authors: Ru-Jheng Li, Yu-Ju Lin, Ming-Cheng Tsai, Ya-Shu Wang

Institutions: National Chung Hsing University, National Taipei University of Technology

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: National Science and Technology Council