Journal article
Smooth derivations commuting with Lie group actions
Mathematical proceedings of the Cambridge Philosophical Society, Vol.99(2), pp.307-314
03/1986
DOI: 10.1017/S0305004100064227
Abstract
N. S. Poulsen, motivated in part by questions from relativistic quantum scattering theory, studied symmetric operators S in Hilbert space commuting with a unitary representation U of a Lie group G. (The group of interest in the physical setting is the Poincaré group.) He proved ([17], corollary 2·2) that if S is defined on the space of C∞-vectors for U (i.e. D(S) ⊇ ℋ∞(U)), then S is essentially self-adjoint.
Details
- Title: Subtitle
- Smooth derivations commuting with Lie group actions
- Creators
- F. M Goodman - Department of Mathematics, University of Iowa, Iowa City, IA 52242, U.S.AP. E. T Jorgensen - Department of Mathematics, University of Iowa, Iowa City, IA 52242, U.S.AC Peligrad - Department of Mathematics, University of Cincinnati, Cincinnati, OH 45221, U.S.A
- Resource Type
- Journal article
- Publication Details
- Mathematical proceedings of the Cambridge Philosophical Society, Vol.99(2), pp.307-314
- Publisher
- Cambridge University Press; Cambridge, UK
- DOI
- 10.1017/S0305004100064227
- ISSN
- 0305-0041
- eISSN
- 1469-8064
- Number of pages
- 8
- Language
- English
- Date published
- 03/1986
- Academic Unit
- Mathematics
- Record Identifier
- 9983985869702771
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