Integrating representations of Banach-Lie algebras

Journal of Functional Analysis

Volumn 260, Issue 5, 2011, Pages 1463-1475

  Merigon, Stéphane ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

Analytic vectors; Banach Lie groups and algebras; Integrability of unitary representations

Indexed keywords

EID: 78650555643     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2010.10.011     Document Type: Article

References (11)

1. Bourbaki Nicolas Lie Groups and Lie Algebras. Chapters 1-3. Elem. Math. (Berlin) 1989, Springer-Verlag, Berlin.
2. Flato M., Simon J., Snellman H., Sternheimer D. Simple facts about analytic vectors and integrability. Ann. Sci. École Norm. Sup. (4) 1972, 5:423-434.
3. Jorgensen P.E.T., Moore R.T. Operator Commutation Relations. Math. Appl. 1984, D. Reidel Publishing Co., Dordrecht.
4. Lüscher M., Mack G. Global conformal invariance in quantum field theory. Comm. Math. Phys. 1975, 41:203-234.
5. S. Merigon, K.-H. Neeb, Analytic extension techniques for unitary representations of Banach-Lie groups, in preparation.
6. Neeb Karl-Hermann Towards a Lie theory of locally convex groups. Jpn. J. Math. 2006, 1(2):291-468.
7. Neeb Karl-Hermann On differentiable vectors for representations of infinite dimensional Lie groups. J. Funct. Anal. 2010, 259:2814-2855.
8. Karl-Hermann Neeb, On analytic vectors for representations of Banach-Lie groups, Ann. Inst. Fourier (Grenoble), in press.
9. Nelson Edward Analytic vectors. Ann. of Math. (2) 1959, 70:572-615.
10. Simon Jacques On the integrability of representations of infinite dimensional real Lie algebras. Comm. Math. Phys. 1972, 28:39-46.
11. Toledano Laredo Valerio Integrating unitary representations of infinite-dimensional Lie groups. J. Funct. Anal. 1999, 161(2):478-508.