Geodesic
Continuity of generalized inverses in Banach algebras
Studia Mathematica, Tome 136 (1999) no. 3, pp. 197-227 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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. 
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     author = {Steffen Roch and  },
     title = {Continuity of generalized inverses in {Banach} algebras},
     journal = {Studia Mathematica},
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     doi = {10.4064/sm-136-3-197-227},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-136-3-197-227/}
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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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