Author(s)

Muneo Chō, Gabriel Kantún-Montiel

Department of Mathematics, Faculty of Science, Kanagawa University, Kanagawa, Japan.
Department of Research and Graduate Studies, Linda Vista University, Pueblo Nuevo Solistahuacán, Mexico.

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.

Generalized Inverse; Koliha-Drazin Inverse; Outer Inverse

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.