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Commuting Outer Inverses
Department of Mathematics, Faculty of Science, Kanagawa University, Kanagawa, Japan
Department of Research and Graduate Studies, Linda Vista University, Pueblo Nuevo Solistahuacán, Mexico
- 1 Department of Mathematics, Faculty of Science, Kanagawa University, Kanagawa, Japan
- 2 Department of Research and Graduate Studies, Linda Vista University, Pueblo Nuevo Solistahuacán, Mexico
Advances in Linear Algebra & Matrix Theory·Volume 03 (2013)·Pages 69–72·Published 6 December 2013·DOI10.4236/alamt.2013.34013
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Abstract
The group, Drazin and Koliha-Drazin inverses are particular classes of commuting outer inverses. In this note, we use the inverse along an element to study some spectral conditions related to these inverses in the case of bounded linear operators on a Banach space.
KeywordsGeneralized InverseKoliha-Drazin InverseOuter Inverse
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