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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…
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…
Numerical radius inequalities concerning with algebraic norms
A. Zamani, M. S. Moslehian, Q. Xu +1
We give an expression for a generalized numerical radius of Hilbert space operators and then apply it to obtain upper and lower bounds for the generalized numerical radius. We also…