Lele Gao

Linear Maps Preserving Rank-additivity and Rank-sum-minimal on Tensor Products of Matrix Spaces

Lele Gao, Yang Zhang & Jinli Xu · Asian Research Journal of Mathematics · 2019

The problems of characterizing maps that preserve certain invariant on given sets are called the preserving problems, which have become one of the core research areas in matrix theory. If for any A1 ⊕···⊕ Ak’B1 ⊕···⊕ Bk ∈ M n1 ⊕···⊕ Mnk, a linear map, Φ : Mn1 ⊕···⊕ Mnk → Mn1 ⊕···...