What question did this study set out to answer?

The paper aims to introduce and analyze classes of one-sided generalized Drazin-Riesz and Drazin-meromorphic invertible operators.

March 5, 2026Filomat0 citationsOpen Access

One-sided generalized Drazin-Riesz and one-sided generalized Drazin-meromorphic invertible operators

SZSnezana Zivkovic-ZlatanovicUniversity of Nis

Key Points

The paper aims to introduce and analyze classes of one-sided generalized Drazin-Riesz and Drazin-meromorphic invertible operators.
Introduced left and right versions of generalized Drazin-Riesz invertible operators.
Developed left and right versions of generalized Drazin-meromorphic invertible operators.
Analyzed their properties and implications in operator theory.
Established definitions for new classes of one-sided operators.
Identified key characteristics differentiating left and right operators.
Demonstrated potential applications in mathematical analysis.

Abstract

The aim of this paper is to introduce and study left and right versions of the class of generalized Drazin-Riesz invertible operators, as well as left and right versions of the class of generalized Drazin-meromorphic invertible operators.

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