TY  - INPR
A1  - Schrohe, Elmar
A1  - Seiler, Jörg
T1  - Ellipticity and invertibility in the cone algebra on Lp-Sobolev spaces
N2  - Given a manifold B with conical singularities, we consider the cone algebra with discrete asymptotics, introduced by Schulze, on a suitable scale of Lp-Sobolev spaces. Ellipticity is proven to be equivalent to the Fredholm property in these spaces, it turns out to be independent of the choice of p. We then show that the cone algebra is closed under inversion: whenever an operator is invertible between the associated Sobolev spaces, its inverse belongs to the calculus. We use these results to analyze the behaviour of these operators on Lp(B).
T3  - Preprint - (1999) 28 
Y1  - 2008
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2353
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-25621
ER  -