Chih-Neng Liu

activity

20162023

most citedMaps on positive definite operators preserving the quantum

χ_{α}^{2}

-divergence

4 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2023

Weighted composition operators preserving various Lipschitz constants

Ching-Jou Liao, Chih-Neng Liu, Jung-Hui Liu +1

Let $Lip (X)$ , $Lip^{b} (X)$ , $Lip^{loc} (X)$ and $Lip^{pt} (X)$ be the vector spaces of Lipschitz, bounded Lipschitz, locally Lipschi…

math-ph2017★ 4 cited

Maps on positive definite operators preserving the quantum $χ_{α}^{2}$ -divergence

Hong-Yi Chen, György Pál Gehér, Chih-Neng Liu +3

We describe the structure of all bijective maps on the cone of positive definite operators acting on a finite and at least two-dimensional complex Hilbert space which preserve the…

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…

Weighted composition operators preserving various Lipschitz constants

Maps on positive definite operators preserving the quantum χα2​-divergence

Trace and determinant preserving maps of matrices

Maps on positive definite operators preserving the quantum $χ_{α}^{2}$ -divergence