Group inverses and Drazin inverses over Banach algebras

Name: Group inverses and Drazin inverses over Banach algebras
Creator: Huang, Danrun
Keywords: group inverses, General theory of commutative topological algebras, Drazin inverses, Banach algebra, Linear operators in algebras, Theory of matrix inversion and generalized inverses, 0101 mathematics, 01 natural sciences

Huang, Danrun

Found an issue? Give us feedback

Integral Equations a...arrow_drop_down

Integral Equations and Operator Theory

Article . 1993 . Peer-reviewed

License: Springer TDM

Data sources: Crossref

zbMATH Open

Article . 1993

Data sources: zbMATH Open

https://dx.doi.org/10.1007/bf0...

Article

Data sources: Microsoft Academic Graph

Group inverses and Drazin inverses over Banach algebras

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1993 English Publisher:Springer Science and Business Media LLCJournal:Integral Equations and Operator Theory, volume 17, pages 54-67 (issn: 0378-620X, eissn: 1420-8989,

Copyright policy )

Authors: Huang, Danrun;

doi: 10.1007/bf01322546

Group inverses and Drazin inverses over Banach algebras

- Summary
- Subjects
- Metrics

Abstract

Necessary and sufficient conditions are given for the existence of group and Drazin inverses of matrices over a complex commutative unital Banach algebra. Explicit formulas are provided for the inverses. Properties of these inverses and an application to operator theory are discussed.

Related Organizations

University of Maryland, College Park
United States
University of Maryland, College Park
United States

Keywords

group inverses, General theory of commutative topological algebras, Drazin inverses, Banach algebra, Linear operators in algebras, Theory of matrix inversion and generalized inverses

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	7
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average