5 citations · 5 across the 6 of their papers we have counts for
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The block matrix representations for the quasi-projection pairs on Hilbert -modules
Xiaoyi Tian, Qingxiang Xu, Chunhong Fu
A quasi-projection pair consists of two operators and acting on a Hilbert -module , where is a projection and is an idempotent satisfying $Q^*=(2P-I)Q(2P-I)…
A new formula for the weighted Moore-Penrose inverse and its applications
Qingxiang Xu
In the general setting of the adjointable operators on Hilbert -modules, this paper deals mainly with the weighted Moore-Penrose (briefly weighted M-P) inverse in t…
Some aspects of semi-harmonious quasi-projection pairs
Xiaoyi Tian, Qingxiang Xu, Chunhong Fu
A term called the quasi-projection pair was introduced recently by the authors, where is a projection and is an idempotent on a Hilbert -module satisfying…
Some applications of the matched projections of idempotents
Xiaofeng Zhang, Xiaoyi Tian, Qingxiang Xu
For every idempotent on a Hilbert space , the matched projection is a well-established concept. This paper explores several applications of the matched projections. T…
Some inequalities for adjointable operators on Hilbert -modules
Mohammad Sababheh, Hamid Reza Moradi, Qingxiang Xu +1
The main purpose of this paper is, in the general setting of the adjointable operators on Hilbert -modules, to develop two new tools that can be applied to deal with the posit…
The Frobenious distances from projections to an idempotent matrix
Xiaoyi Tian, Qingxiang Xu, Chunhong Fu
For each pair of matrices and with the same order, let denote their Frobenius distance. This paper deals mainly with the Frobenius distances from projections to…
The generalized polar decomposition, the weak complementarity and the parallel sum for adjointable operators on Hilbert -modules
Xiaofeng Zhang, Xiaoyi Tian, Qingxiang Xu
This paper deals mainly with some aspects of the adjointable operators on Hilbert -modules. A new tool called the generalized polar decomposition for each adjointable operator…