Xiaoyi Tian

collaborators

2 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…

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 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