7 papers
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…
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)…
Characterizations of the semi-harmonious and harmonious quasi-projection pairs on Hilbert -modules
Xiaoyi Tian, Qingxiang Xu, Chunhong Fu
For each adjointable idempotent on a Hilbert -module , a specific projection called the matched projection of was introduced recently due to the characteriza…
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…
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 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…