Linear Jointly Disjointness-Preserving Maps Between Rectangular Matrix Spaces

被引：0

作者：

Li, Ru-Jheng ^{[1
]}

Lin, Yu-Ju ^{[1
]}

Tsai, Ming-Cheng ^{[2
]}

Wang, Ya-Shu ^{[1
]}

机构：

[1] Natl Chung Hsing Univ, Dept Appl Math, Taichung 40227, Taiwan

[2] Natl Taipei Univ Technol, Gen Educ Ctr, Taipei 10608, Taiwan

来源：

MATHEMATICS | 2025年 / 13卷 / 02期

关键词：

preserver problems; disjointness; matrix spaces; BANACH-ALGEBRAS; COMPACT;

D O I：

10.3390/math13020305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：10

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