Geodesic
Continuity of generalized inverses in Banach algebras
Studia Mathematica, Tome 136 (1999) no. 3, pp. 197-227

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The main topic of the paper is the continuity of several kinds of generalized inversion of elements in a Banach algebra with identity. We introduce the notion of asymptotic generalized invertibility and completely characterize sequences of elements with this property. Based on this result, we derive continuity criteria which generalize the well known criteria from operator theory.
DOI : 10.4064/sm-136-3-197-227

Steffen Roch 1 ;  1

1 
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Steffen Roch;  . Continuity of generalized inverses in Banach algebras. Studia Mathematica, Tome 136 (1999) no. 3, pp. 197-227. doi: 10.4064/sm-136-3-197-227

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