Qingxiang Xu

activity

20232025

most citedThe Frobenious distances from projections to an idempotent matrix

5 citations · 5 across the 6 of their papers we have counts for

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Showing 2025Show all

3 papers · 1 filter

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.FA2025

A new formula for the weighted Moore-Penrose inverse and its applications

Qingxiang Xu

In the general setting of the adjointable operators on Hilbert $C^{*}$ -modules, this paper deals mainly with the weighted Moore-Penrose (briefly weighted M-P) inverse $A_{M N}^{†}$ in t…

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

A new formula for the weighted Moore-Penrose inverse and its applications

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