Wei Luo

collaborators

5 papers

math.OA2018

The polar decomposition for adjointable operators on Hilbert $C^{*}$ -modules and centered operators

Na Liu, Wei Luo, Qingxiang Xu

Let $T$ be an adjointable operator between two Hilbert $C^{*}$ -modules and $T^{*}$ be the adjoint operator of $T$ . The polar decomposition of $T$ is characterized as $T=U(T^*T)^\frac12…

math.OA2018

The polar decomposition for adjointable operators on Hilbert $C^{*}$ -modules and $n$ -centered operators

Na Liu, Wei Luo, Qingxiang Xu

Let $n$ be any natural number. The $n$ -centered operator is introduced for adjointable operators on Hilbert $C^{*}$ -modules. Based on the characterizations of the polar decomposition…

math.OA2018

The parallel sum for adjointable operators on Hilbert $C^{*}$ -modules

Wei Luo, Chuanning Song, Qingxiang Xu

The parallel sum for adjoinable operators on Hilbert $C^{*}$ -modules is introduced and studied. Some results known for matrices and bounded linear operators on Hilbert spaces are gen…

math.FA2018

New multiplicative perturbation bounds for the generalized polar decomposition

Na Liu, Wei Luo, Qingxiang Xu

Some new Frobenius norm bounds of the unique solution to certain structured Sylvester equation are derived. Based on the derived norm upper bounds, new multiplicative perturbation…

math.FA2018

Perturbation estimation for the parallel sum of Hermitian positive semi-definite matrices

Wei Luo, Chuanning Song, Qingxiang Xu

Let $C^{n \times n}$ be the set of all $n \times n$ complex matrices. For any Hermitian positive semi-definite matrices $A$ and $B$ in $C^{n \times n}$ , their new c…

The polar decomposition for adjointable operators on Hilbert C∗-modules and centered operators

The polar decomposition for adjointable operators on Hilbert C∗-modules and n-centered operators

The parallel sum for adjointable operators on Hilbert C∗-modules

New multiplicative perturbation bounds for the generalized polar decomposition

Perturbation estimation for the parallel sum of Hermitian positive semi-definite matrices

The polar decomposition for adjointable operators on Hilbert $C^{*}$ -modules and centered operators

The polar decomposition for adjointable operators on Hilbert $C^{*}$ -modules and $n$ -centered operators

The parallel sum for adjointable operators on Hilbert $C^{*}$ -modules