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Additive Results of Group Inverses in Banach Algebras
- Source :
- Mathematics, Vol 12, Iss 13, p 2042 (2024)
- Publication Year :
- 2024
- Publisher :
- MDPI AG, 2024.
-
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.
- Subjects :
- group inverse
block complex matrix
Banach algebra
Banach space
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 13
- Database :
- Directory of Open Access Journals
- Journal :
- Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.fe93dc14cf8d43538406effd78cecba8
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/math12132042