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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)…
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…
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…