Trotter's Formula on Infinite Dimensional Lie Groups

Journal of Lie Theory

Volumn 11, Issue 2, 2001, Pages 427-440

  Teichmann, Josef ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040947497     PISSN: 09495932     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. Boman, J., Differentiability of a function and of its compositions with functions of one variable, Math. Scand. 20 (1967), 249-268.
2. Chernoff, P. R., "Product formulas, nonlinear semigroups and addition of unbounded operators", Memoirs of the Amer. Math. 140 (1974).
3. Engel, K. J., and R. Nagel, "One-parameter semigroup for linear evolution equations", Springer-Verlag, 1999.
4. Kriegl, A., and P. W. Michor, "The convenient setting of Global Analysis", Mathematical Surveys and Monographs 53, American Mathematical Society, 1997.
5. Kühnemund, F., and M. Wacker, The Lie-Trotter product formula does not hold for arbitrary sums of generators, Semigroup Forum 60 (2000), 478-485.
6. Milnor, J., Remarks on infinite-dimensional Lie groups, Relativity, groups and Topology II (B.S. DeWitt and R. Stora, eds.), Les Houches, Session XL, Elsevier Science Publishers B. V. (1983), 1009-1057.
7. Omori, H., "Infinite-dimensional Lie groups", Translation of Mathematical Monographs 158, American Mathematical Society, Providence, Rhode Island (1997).
8. Teichmann, J., Regularity of infinite-dimensional Lie groups by metric space methods, Tokyo Journal of mathematics 24 (2001), to appear.
9. _, Convenient Hille-Yosida-Theory, Proceedings of the 21st Winter school on Geometry and Physics, Srni, to appear (2001).
10. _, Inheritance properties of Lipschitz-metrizable groups, preprint.