Additive Results of Group Inverses in Banach Algebras

Dayong Liu and Huanyin Chen ()
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Dayong Liu: College of Computer and Mathematics, Central South University of Forestry and Technology, Changsha 410004, China
Huanyin Chen: School of Big Data, Fuzhou University of International Studies and Trade, Fuzhou 350202, China

Mathematics, 2024, vol. 12, issue 13, 1-10

Abstract: In this paper, we present new presentations of group inverses for the sum of two group invertible elements in a Banach algebra. We then apply these results to block complex matrices. The group invertibility of certain block complex matrices is thereby obtained.

Keywords: group inverse; block complex matrix; Banach algebra; Banach space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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