A note on the Drazin inverses with Banachiewicz-Schur forms

作者：Deng; Chun Yuan

来源：Applied Mathematics and Computation, 2009, 213(1): 230-234.

DOI：10.1016/j.amc.2009.03.008

• Banachiewicz-Schur form
• Generalized inverse
• Generalized Schur complement
• Drazin inverse
• Moore-Penrose inverse
• EP-operator

Let H be a Hilbert space, M the closed subspace of H with orthocomplement M(1). According to the orthogonal decomposition H = M circle plus M(perpendicular to), every operator M is an element of B (H) can be written in a block-form
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In this note, we give necessary and sufficient conditions for a partitioned operator matrix M to have the Drazin inverse with Banachiewicz-Schur form. In addition, this paper investigates the relations among the Drazin inverse, the Moore-Penrose inverse and the group inverse when they can be expressed in the Banachiewicz-Schur forms.

• 出版日期2009-7-1
• 单位华南师范大学