4 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…
The matched projections of idempotents on Hilbert -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 -modules, a new…