On generalized Drazin invertible linear relations

Melik Lajnef; Maher Mnif

doi:10.1216/rmj.2020.50.1387

Abstract

We define and study the generalized Drazin inverse of bounded and closed linear relations on Banach spaces. Then, we provide necessary and sufficient conditions under which a linear relation be generalized Drazin invertible.

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Melik Lajnef. Maher Mnif. "On generalized Drazin invertible linear relations." Rocky Mountain J. Math. 50 (4) 1387 - 1408, August 2020. https://doi.org/10.1216/rmj.2020.50.1387

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Received: 30 March 2018; Revised: 6 October 2019; Accepted: 13 January 2020; Published: August 2020

First available in Project Euclid: 29 September 2020

zbMATH: 07261870

MathSciNet: MR4154813

Digital Object Identifier: 10.1216/rmj.2020.50.1387

Subjects:

Primary: 47A06 , 47B40

Keywords: ‎analytic core , generalized Drazin invertible linear relation , isolated point of spectrum , quasinilpotent part

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