A new characterization of generalized Browder's theorem and a Cline's formula for generalized Drazin-meromorphic inverses

Anuradha Gupta; Ankit Kumar

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arXiv · 1905.01599

A new characterization of generalized Browder's theorem and a Cline's formula for generalized Drazin-meromorphic inverses

Anuradha Gupta·Ankit Kumar

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Abstract

In this paper, we give a new characterization of generalized Browder's theorem by considering equality between the generalized Drazin-meromorphic Weyl spectrum and the generalized Drazin-meromorphic spectrum. Also, we generalize Cline's formula to the case of generalized Drazin-meromorphic invertibility under the assumption that $A^kB^kA^k=A^{k+1}$ for some positive integer $k$.

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BibTeX RIS

Anuradha Gupta, Ankit Kumar. 2019-05-05. A new characterization of generalized Browder's theorem and a Cline's formula for generalized Drazin-meromorphic inverses. https://arxiv.org/abs/1905.01599

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