Adjoints of elliptic cone operators
- 1 April 2003
- journal article
- research article
- Published by Project MUSE in American Journal of Mathematics
- Vol. 125 (2), 357-408
- https://doi.org/10.1353/ajm.2003.0012
Abstract
We study the adjointness problem for the closed extensions of a general b-elliptic operator A ∈ x-ν Diffmb (M; E), ν > 0, initially defined as an unbounded operator A: C∞c (M; E) ∈ xμL2b(M; E) → xμL2b(M; E), μ ∈ [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]. The case where A is a symmetric semibounded operator is of particular interest, and we give a complete description of the domain of the Friedrichs extension of such an operator.Keywords
This publication has 6 references indexed in Scilit:
- Elliptic equivalence of vector bundlesIndiana University Mathematics Journal, 2002
- Heat kernel asymptotics on manifolds with conic singularitiesJournal d'Analyse Mathématique, 1999
- Pseudo-differential operators on manifolds with conical singularitiesPublished by Springer Science and Business Media LLC ,1997
- An Index Theorem for First Order Regular Singular OperatorsAmerican Journal of Mathematics, 1988
- Regular singular asymptoticsAdvances in Mathematics, 1985
- On the spectral geometry of spaces with cone-like singularitiesProceedings of the National Academy of Sciences of the United States of America, 1979