Drazin Inverse of Operational Sum on Hilbert Space

Yanni Chen · Journal of Xi'an University of Arts and Science · 2006

Based on a systematic study of invertible operators,some relevant properties about Drazin invertible operators were introduced.By the method of operational partitioning,such problems as whether the sum of nilpotent operators and Drazin invertible operators as well as the sum of two Drazin invertible operators are Drazin invertible were discussed.Respective formulae were also put forward.

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