Na Liu

collaborators

3 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.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…

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

New multiplicative perturbation bounds for the generalized polar decomposition

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