3 papers
math.RA2026
-conjugate for quaternionic matrices and related properties
Cailing Yao, Bingzhe Hou, Xiaoqi Feng
Motivated by the result that a complex matrix being unitarily equivalent to a real matrix, we extend the conclusion to the quaternion skew field in this paper, we p…
math.FA2025
Cowen-Douglas operators on quaternionic Hilbert spaces
Xiaoqi Feng, Bingzhe Hou, Kui Ji
In 1978, M. J. Cowen and R. G. Douglas introduced a class of geometric operators (known as Cowen-Douglas class of operators) and associated a Hermitian holomorphic vector bundle to…
math.RA2023
Some invariants of and diagonalization
Cailing Yao, Bingzhe Hou, Xiaoqi Feng
Denote by the set of all quaternions. We are interested in the group , which is a subgroup of quaternionic matrix group and is sometimes…