Representations for generalized Drazin inverse of operator matrices over a Banach space. (English) Zbl 1424.46067
Summary: In this paper, we give expressions for the generalized Drazin inverse of a (2,2,0) operator matrix and a \(2\times2\) operator matrix under certain circumstances, which generalizes and unifies several results in the literature.
MSC:
| 46H05 | General theory of topological algebras |
| 47A05 | General (adjoints, conjugates, products, inverses, domains, ranges, etc.) |
| 15A09 | Theory of matrix inversion and generalized inverses |
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