Chi-Kwong Li

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math.FA2025

Linear maps preserving product of involutions

Chi-Kwong Li, Tejbir Lohan, Sushil Singla

An element of the algebra $M_{n} (F)$ of $n \times n$ matrices over a field $F$ is called an involution if its square equals the identity matrix. Gustafson, Halmos,…

math.FA2024

Linear preservers of parallel matrix pairs with respect to the $k$ -numerical radius

Bojan Kuzma, Chi-Kwong Li, Edward Poon +1

Let $1 \leq k < n$ be integers. Two $n \times n$ matrices $A$ and $B$ form a parallel pair with respect to the $k$ -numerical radius $w_{k}$ if $w_{k} (A + μ B) = w_{k} (A) + w_{k} (B)$ for som…

Linear maps preserving product of involutions

Linear preservers of parallel matrix pairs with respect to the k-numerical radius

Linear preservers of parallel matrix pairs with respect to the $k$ -numerical radius