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Additive Results for the Generalized Drazin Inverse in a Banach Algebra

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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.

Keywords: drazin inverse; banach algebra; additive results; generalized drazin

Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2017

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