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].
作者
张浩苒
徐金利
ZHANG Haoran;XU Jinli(College of Science,Northeast Forestry University,Harbin 150080,China)
出处
《黑龙江大学自然科学学报》
CAS
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)。
关键词
保持问题
张量积
矩阵
线性映射
preserving problem
tensor product
matrix
linear map
