Chunhong Fu

collaborators

4 papers

math.FA2025

The block matrix representations for the quasi-projection pairs on Hilbert $C^{*}$ -modules

Xiaoyi Tian, Qingxiang Xu, Chunhong Fu

A quasi-projection pair consists of two operators $P$ and $Q$ acting on a Hilbert $C^{*}$ -module $H$ , where $P$ is a projection and $Q$ is an idempotent satisfying $Q^*=(2P-I)Q(2P-I)…

math.OA2025

Characterizations of the semi-harmonious and harmonious quasi-projection pairs on Hilbert $C^{*}$ -modules

Xiaoyi Tian, Qingxiang Xu, Chunhong Fu

For each adjointable idempotent $Q$ on a Hilbert $C^{*}$ -module $H$ , a specific projection $m (Q)$ called the matched projection of $Q$ was introduced recently due to the characteriza…

math.OA2025

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.FA2024

Some aspects of semi-harmonious quasi-projection pairs

Xiaoyi Tian, Qingxiang Xu, Chunhong Fu

A term called the quasi-projection pair $(P, Q)$ was introduced recently by the authors, where $P$ is a projection and $Q$ is an idempotent on a Hilbert $C^{*}$ -module $H$ satisfying…

The block matrix representations for the quasi-projection pairs on Hilbert C∗-modules

Characterizations of the semi-harmonious and harmonious quasi-projection pairs on Hilbert C∗-modules

The matched projections of idempotents on Hilbert C∗-modules

Some aspects of semi-harmonious quasi-projection pairs

The block matrix representations for the quasi-projection pairs on Hilbert $C^{*}$ -modules

Characterizations of the semi-harmonious and harmonious quasi-projection pairs on Hilbert $C^{*}$ -modules

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