2012/01/13 by Andreas Klotz, Klotz, Andreas
Mathematics · #41A65 #42A10 #47B47 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:41A65 #msc:42A10 #msc:47B47
paper · pdf · doi:10.48550/arxiv.1201.2938
arxiv created 2012/01/13 · arxiv updated 2012/01/17
In previous work we have shown that classical approximation theory provides methods for the systematic construction of inverse-closed smooth subalgebras. Now we extend this work to treat inverse-closed subalgebras of ultradifferentiable elements. In particular, Carleman classes and Dales-Davie algebras are treated. As an application the result of Demko, Smith and Moss and Jaffard on the inverse of a matrix with exponential decay is obtained within the framework of a general theory of smoothness.