✦ LIBER ✦
Semi-bounded restrictions of Dirac type operators and the unique continuation property
✍ Scribed by Christian Bär; Alexander Strohmaier
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 61 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0926-2245
No coin nor oath required. For personal study only.
✦ Synopsis
Let M be a connected Riemannian manifold and let D be a Dirac type operator acting on smooth compactly supported sections in a Hermitian vector bundle over M. Suppose D has a self-adjoint extension A in the Hilbert space of square-integrable sections. We show that any L 2 -section ϕ contained in a closed A-invariant subspace on which the restriction of A is semi-bounded has the unique continuation property: if ϕ vanishes on a non-empty open subset of M, then it vanishes on all of M.