On generalized Saphar linear relations
Abstract
The purpose of this paper is to introduce and study the class of generalized Saphar linear relations in Banach spaces. It is shown that these linear relations can be completely characterized in terms of an algebraic decomposition involving a Saphar linear relation and a bounded nilpotent operator. Other characterizations of these linear relations are also provided. Additionally, we examine two particular subclasses of generalized Saphar linear relations related to Drazin invertibility, namely the classes of left and right Drazin invertible linear relations.
Fields of Study & Subjects
Holomorphic and Operator Theory
Advanced Banach Space Theory
Functional Equations Stability Results
Publication details
- Journal / source
- Acta Universitatis Sapientiae Mathematica
- Publisher
- Springer Science and Business Media LLC
- Volume
- 18
- Issue
- 1
- Publication date
- 19 January 2026
- Language
- EN