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A new characterization of generalized Browder's theorem and a Cline's formula for generalized Drazin-meromorphic inverses
classification
🧮 math.SP
keywords
generalizeddrazin-meromorphicbrowdercharacterizationclineformulaspectrumtheorem
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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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