保持张量积矩阵秩的线性映射  

Linear maps preserving ranks of tensor products of rectangle matrices

作　　者：张浩苒 徐金利 ZHANG Haoran;XU Jinli(College of Science,Northeast Forestry University,Harbin 150080,China)

机构地区：[1]东北林业大学理学院,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2023年第1期7-15,共9页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the National Natural Science Foundation of China (11701075)。

摘　　要：刻画了同时保持长方矩阵张量积的最小和最大秩的线性映射的形式。研究结果推广了文献[Linear Multilinear Algebra, 2015, 63(7):1442-1447]中的定理1。The form of linear maps that preserve both the minimum and maximum ranks of tensor products of rectangle matrices is characterized. The obtained result generalizes Theorem 1 in [Linear Multilinear Algebra, 2015, 63(7): 1442-1447].

关 键 词：保持问题 张量积 矩阵 线性映射 

分 类 号：O151.2[理学—数学]