Xiaofeng Zhang

activity

20222024

collaborators

3 papers

math.FA2024

Some applications of the matched projections of idempotents

Xiaofeng Zhang, Xiaoyi Tian, Qingxiang Xu

For every idempotent $Q$ on a Hilbert space $H$ , the matched projection $m (Q)$ is a well-established concept. This paper explores several applications of the matched projections. T…

math.FA2023

The generalized polar decomposition, the weak complementarity and the parallel sum for adjointable operators on Hilbert $C^{*}$ -modules

Xiaofeng Zhang, Xiaoyi Tian, Qingxiang Xu

This paper deals mainly with some aspects of the adjointable operators on Hilbert $C^{*}$ -modules. A new tool called the generalized polar decomposition for each adjointable operator…

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…

Some applications of the matched projections of idempotents

The generalized polar decomposition, the weak complementarity and the parallel sum for adjointable operators on Hilbert C∗-modules

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

The generalized polar decomposition, the weak complementarity and the parallel sum for adjointable operators on Hilbert $C^{*}$ -modules

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