Journal article
Conservative derivations and dissipative Laplacians
Journal of functional analysis, Vol.82(2), pp.404-411
1989
DOI: 10.1016/0022-1236(89)90077-3
Abstract
Let δ 1 ,…, δ d be a finite sequence of ∗ -derivations on a C ∗ -algebra U such that the Laplacian Δ = − ∑ K = 1 d δ k 2 is densely defined. We prove that if −Δ is dissipative, then δ 1 ,…, δ d are conservative on the domain of Δ. This has consequences for integrability of Lie-algebras of derivations. The result does not extend to general Banach ∗ -algebras.
Details
- Title: Subtitle
- Conservative derivations and dissipative Laplacians
- Creators
- Ola BratteliPalle E.T Jørgensen
- Resource Type
- Journal article
- Publication Details
- Journal of functional analysis, Vol.82(2), pp.404-411
- DOI
- 10.1016/0022-1236(89)90077-3
- ISSN
- 1096-0783
- eISSN
- 1096-0783
- Language
- English
- Date published
- 1989
- Academic Unit
- Mathematics
- Record Identifier
- 9983986090502771
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