2 papers
math.OA2018
The parallel sum for adjointable operators on Hilbert -modules
Wei Luo, Chuanning Song, Qingxiang Xu
The parallel sum for adjoinable operators on Hilbert -modules is introduced and studied. Some results known for matrices and bounded linear operators on Hilbert spaces are gen…
math.FA2018
Perturbation estimation for the parallel sum of Hermitian positive semi-definite matrices
Wei Luo, Chuanning Song, Qingxiang Xu
Let be the set of all complex matrices. For any Hermitian positive semi-definite matrices and in , their new c…