79 citations · 210 across the 18 of their papers we have counts for
4 papers · 2 filters
The polar decomposition for adjointable operators on Hilbert -modules and centered operators
Na Liu, Wei Luo, Qingxiang Xu
Let be an adjointable operator between two Hilbert -modules and be the adjoint operator of . The polar decomposition of is characterized as $T=U(T^*T)^\frac12…
The polar decomposition for adjointable operators on Hilbert -modules and -centered operators
Na Liu, Wei Luo, Qingxiang Xu
Let be any natural number. The -centered operator is introduced for adjointable operators on Hilbert -modules. Based on the characterizations of the polar decomposition…
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…
Douglas factorization theorem revisited
Vladimir Manuilov, Mohammad Sal Moslehian, Qingxiang Xu
Inspired by the Douglas lemma, we investigate the solvability of the operator equation in the framework of Hilbert C*-modules. Utilizing partial isometries, we present its g…