Qingxiang Xu

activity

20102026

most citedSeminorm and numerical radius inequalities of operators in semi-Hilbertian spaces

79 citations · 210 across the 18 of their papers we have counts for

collaborators

Showing math.OAShow all

9 papers · 1 filter

math.OA2023★ 1 cited

The matched projections of idempotents on Hilbert $C^{*}$ -modules

Xiaoyi Tian, Qingxiang Xu, Chunhong Fu

The aim of this paper is to give new characterizations of some fundamental issues about idempotents. In the general setting of adjointable operators on Hilbert $C^{*}$ -modules, a new…

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.OA2022

$C^{}$ -isomorphisms associated with two projections on a Hilbert $C^{}$ -module

Chunhong Fu, Qingxiang Xu, Guanjie Yan

Motivated by two norm equations used to characterize the Friedrichs angle, this paper studies $C^{*}$ -isomorphisms associated with two projections by introducing the matched triple a…

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.OA2018★ 5 cited

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.OA2018★ 24 cited

Douglas factorization theorem revisited

Vladimir Manuilov, Mohammad Sal Moslehian, Qingxiang Xu

Inspired by the Douglas lemma, we investigate the solvability of the operator equation $A X = C$ in the framework of Hilbert C*-modules. Utilizing partial isometries, we present its g…

math.OA2017★ 14 cited

On majorization and range inclusion of operators on Hilbert $C^{*}$ -modules

Xiaochun Fang, Mohammad Sal Moslehian, Qingxiang Xu

It is proved that for adjointable operators $A$ and $B$ between Hilbert $C^{*}$ -modules, certain majorization conditions are always equivalent without any assumptions on $\overline{\…

math.OA2010

Representations for weighted Moore-Penrose inverses of partitioned adjointable operators

Qingxiang Xu, Yonghao Chen, Chuanning Song

For two positive definite adjointable operators $M$ and $N$ , and an adjointable operator $A$ acting on a Hilbert $C^{*}$ -module, some properties of the weighted Moore-Penrose inverse…

The matched projections of idempotents on Hilbert C∗-modules

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

C∗-isomorphisms associated with two projections 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

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