Geodesic
On stability of outer inverses
Mathematica Applicanda, Tome 13 (1985) no. 25, pp. 91-109.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The paper is concerned with stability properties of bounded outer inverses for bounded operators on Banach spaces. We investigate the effect of perturbations of subspaces generating outer inverses for a given operator. We prove that the convergence of respective gaps between subspaces implies the convergence in the norm of outer inverses generated by these subspaces. The notion of outer inverses is illustrated by an example which gives the form of outer inverses for an arbitrary matrix.
DOI : 10.14708/ma.v13i25.1634
Classification : 47A05
Mots-clés : General theory of linear operators 
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     title = {On stability of outer inverses},
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Teresa Regińska. On stability of outer inverses. Mathematica Applicanda, Tome 13 (1985) no. 25, pp.  91-109. doi : 10.14708/ma.v13i25.1634. http://geodesic.mathdoc.fr/articles/10.14708/ma.v13i25.1634/

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