Na Liu

most citedThe polar decomposition for adjointable operators on Hilbert

C^{*}

-modules and centered operators

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.OA2022

The $(n + 1)$ -centered operator on a Hilbert $C^{*}$ -module

Na Liu, Qingxiang Xu, Xiaofeng Zhang

Let $T$ be an adjointable operator on a Hilbert $C^{*}$ -module such that $T$ has the polar decomposition $T = U T ∣$ . For each natural number $n$ , $T$ is called an $(n + 1)$ -centered opera…

math.OA2018★ 2 cited

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 (n+1)-centered operator on a Hilbert C∗-module

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 $(n + 1)$ -centered operator on a Hilbert $C^{*}$ -module

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