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A NOTE ON THE REPRESENTATIONS FOR THE GENERALIZED DRAZIN INVERSE OF BLOCK MATRICES |
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| Abstract: | We present some representations for the generalized Drazin inverse of a block matrix x =abcd]in a Banach algebra A in terms of a~d and(bc)~d under certain conditions,extending some recent result related to the generalized Drazin inverse of an anti-triangular operator matrix.Also,several particular cases of this result are considered. |
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