Banach-Lie groups and algebras;
Integrability of unitary representations;
Analytic vectors;
D O I:
10.1016/j.jfa.2010.10.011
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We give two integrability criteria for representations of Banach-Lie algebras as skew-symmetric unbounded operators on a dense domain of a Hilbert space. One of them is based on analytic vectors. (C) 2010 Published by Elsevier Inc.
机构:
Romanian Acad, Inst Math Simion Stoilow, POB 1-764, Bucharest, RomaniaRomanian Acad, Inst Math Simion Stoilow, POB 1-764, Bucharest, Romania
Beltita, Daniel
Pelletier, Fernand
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机构:
Univ Savoie Mt Blanc, Lab Math LAMA, CNRS, Unite Mixte Rech 5127, Chambery, FranceRomanian Acad, Inst Math Simion Stoilow, POB 1-764, Bucharest, Romania
Pelletier, Fernand
Zergane, Amel
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h-index: 0
机构:
Univ Sousse, Higher Inst Appl Sci & Technol Sousse, Math Phys Lab, Special Funct & Applicat, City Ibn Khaldoun 4003, Sousse, TunisiaRomanian Acad, Inst Math Simion Stoilow, POB 1-764, Bucharest, Romania