Weighted G-Drazin inverse for operators on Banach spaces-Reference-Cited by-同舟云学术

Weighted G-Drazin inverse for operators on Banach spaces

Published:2019 Issue:2 Volume:35 Page:171-184
ISSN:1584-2851
Container-title:Carpathian Journal of Mathematics
language:
Short-container-title:CJM

Author:

MOSIC DIJANA,

Abstract

We define an extension of weighted G-Drazin inverses of rectangular matrices to operators between two Banach spaces. Some properties of weighted G-Drazin inverses are generalized and some new ones are proved. Using weighted G-Drazin inverses, we introduce and characterize a new weighted pre-order on the set of all bounded linear operators between two Banach spaces. As an application, we present and study the G-Drazin inverse and the G-Drazin partial order for operators on Banach space.

Publisher

Technical University of Cluj Napoca, North University Center of Baia Mare

Subject

General Mathematics

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