Generalized Drazin-meromorphic invertible operators and Browder type theorems

Abstract

In this paper, we give necessary and sufficient conditions for a bounded linear operator T to be generalized Drazin-Riesz invertible or generalized Drazin-meromorphic invertible. Also, we study Browder type theorems by means of the set of interior points of various parts of spectrum of T.

Keywords:

• SVEP
• Drazin invertible
• meromorphic operator
• Browder type theorems

Mathematics Subject Classification (2010):

• 47A10
• 47A11
• 47A53

Acknowledgments

The authors are grateful to the referees for their valuable comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).