M. Tsai

activity

20162022

collaborators

Showing math.RAShow all

2 papers · 1 filter

math.RA2019

Nonsurjective maps between rectangular matrix spaces preserving disjointness, triple products, or norms

Chi-Kwong Li, Ming-Cheng Tsai, Ya-Shu Wang +1

Let $M_{m, n}$ be the space of $m \times n$ real or complex rectangular matrices. Two matrices $A, B \in M_{m, n}$ are disjoint if $A^{*} B = 0_{n}$ and $A B^{*} = 0_{m}$ . In this paper, a char…

math.RA2016

Trace and determinant preserving maps of matrices

Huajun Huang, Chih-Neng Liu, Patricia Szokol +2

Suppose a map $ϕ$ on the set of positive definite matrices satisfies $det (A + B) = det (ϕ (A) + ϕ (B))$ . Then we have $tr (A B^{- 1}) = tr (ϕ (A) ϕ (B)^{- 1}) .$ Through this viewp…