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Commuting Outer Inverses

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DOI: 10.4236/alamt.2013.34013    2,474 Downloads   5,417 Views   Citations


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.

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The authors declare no conflicts of interest.

Cite this paper

M. Chō and G. Kantún-Montiel, "Commuting Outer Inverses," Advances in Linear Algebra & Matrix Theory, Vol. 3 No. 4, 2013, pp. 69-72. doi: 10.4236/alamt.2013.34013.


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[2] G. Kantún-Montiel and S. V. Djordjevi?, “Invertibility along an Operator,” unpublished.
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[5] J. J. Koliha, “A Generalized Drazin Inverse,” Glasgow Mathematical Journal, Vol. 38, No. 3, 1996, pp. 367-381.

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