Under new conditions on Banach algebra elements a and b, we derive explicit expressions for the generalized Drazin inverse of the sum $$a+b$$a+b. As an application of our results, we… Click to show full abstract
Under new conditions on Banach algebra elements a and b, we derive explicit expressions for the generalized Drazin inverse of the sum $$a+b$$a+b. As an application of our results, we present new representations for the generalized Drazin inverse of a block matrix in a Banach algebra.
               
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