A note on the essential selfadjointness of classical constants of motion
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- Proc. Amer. Math. Soc. 60 (1976), 185-186 Request permission
Abstract:
It is shown how the results by Chernoff [1] and also Rauch and Taylor [2] on the essential selfadjointness of powers of generators of hyperbolic mixed problems can be combined with results by Poulsen [3] to give essential selfadjointness of symmetric operators commuting with the hyperbolic problem, as specified below.References
- Paul R. Chernoff, Essential self-adjointness of powers of generators of hyperbolic equations, J. Functional Analysis 12 (1973), 401–414. MR 0369890, DOI 10.1016/0022-1236(73)90003-7
- Jeffrey Rauch and Michael Taylor, Essential self-adjointness of powers of generators of hyperbolic mixed problems, J. Functional Analysis 12 (1973), 491–493. MR 0348284, DOI 10.1016/0022-1236(73)90008-6
- Neils Skovhus Poulsen, On $C^{\infty }$-vectors and intertwining bilinear forms for representations of Lie groups, J. Functional Analysis 9 (1972), 87–120. MR 0310137, DOI 10.1016/0022-1236(72)90016-x
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 60 (1976), 185-186
- MSC: Primary 35L35; Secondary 22E30, 58F05
- DOI: https://doi.org/10.1090/S0002-9939-1976-0457945-2
- MathSciNet review: 0457945