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math.FA2024
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…
math.FA2024
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…
math.FA2024
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…