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math.OA2018
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…
math.OA2018
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…
math.OA2018
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…