43 citations · 71 across the 9 of their papers we have counts for
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math.FA2012
Norm-Controlled Inversion in Smooth Banach Algebras, II
Karlheinz Gröchenig, Andreas Klotz
We show that smoothness implies norm-controlled inversion: the smoothness of an element in a Banach algebra with a one-parameter automorphism group is preserved under inversion…
math.OA2012★ 23 cited
Norm-Controlled Inversion in Smooth Banach Algebras, I
Karlheinz Gröchenig, Andreas Klotz
Every differential subalgebra of a unital -algebra is spectrally invariant. We derive a quantitative version of this well-known fact and show that a minimal amount of smoothne…
math.FA2012
Inverse Closed Ultradifferential Subalgebras
Andreas Klotz
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…