Pan-Shun Lau

activity

20162018

collaborators

4 papers

math.FA2018

The generalized numerical range of a set of matrices

Pan-Shun Lau, Chi-Kwong Li, Yiu-Tung Poon +1

For a given set of $n \times n$ matrices $F$ , we study the union of the $C$ -numerical ranges of the matrices in the set $F$ , denoted by $W_{C} (F)$ . We obt…

math.FA2017

Convexity and Star-shapedness of Matricial Range

Pan-Shun Lau, Chi-Kwong Li, Yiu-Tung Poon +1

Let $A = (A_{1}, \dots, A_{m})$ be an $m$ -tuple of bounded linear operators acting on a Hilbert space $H$ . Their joint $(p, q)$ -matricial range $Λ_{p, q} (A)$ is the co…

math.FA2016

Convexity and Star-shapedness of Real Linear Images of Special Orthogonal Orbits

Pan-Shun Lau, Tuen-Wai Ng, Nam-Kiu Tsing

Let $A \in R^{N \times N}$ and $SO_{n} := {U \in R^{N \times N} : U U^{t} = I_{n}, det U > 0}$ be the set of $n \times n$ special orthogonal matrices. Define the (real)…

math.FA2016

The star-shapedness of a generalized numerical range

Pan-Shun Lau, Tuen-Wai Ng, Nam-Kiu Tsing

Let $H_{n}$ be the set of all $n \times n$ Hermitian matrices and $H_{n}^{m}$ be the set of all $m$ -tuples of $n \times n$ Hermitian matrices. For $A=(A_1,...,A_m)\in \…