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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.FA2023
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…