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math.OA2018★ 5 cited
The parallel sum for adjointable operators on Hilbert -modules
Wei Luo, Chuanning Song, Qingxiang Xu
The parallel sum for adjoinable operators on Hilbert -modules is introduced and studied. Some results known for matrices and bounded linear operators on Hilbert spaces are gen…
math.OA2010
Representations for weighted Moore-Penrose inverses of partitioned adjointable operators
Qingxiang Xu, Yonghao Chen, Chuanning Song
For two positive definite adjointable operators and , and an adjointable operator acting on a Hilbert -module, some properties of the weighted Moore-Penrose inverse…