Lie theory of semi-groups of linear transformations
HTML articles powered by AMS MathViewer
- by Einar Hille PDF
- Bull. Amer. Math. Soc. 56 (1950), 89-114
References
- Garrett Birkhoff, Analytical groups, Trans. Amer. Math. Soc. 43 (1938), no. 1, 61–101. MR 1501934, DOI 10.1090/S0002-9947-1938-1501934-4
- Nelson Dunford, On one parameter groups of linear transformations, Ann. of Math. (2) 39 (1938), no. 3, 569–573. MR 1503425, DOI 10.2307/1968635
- Nelson Dunford and I. E. Segal, Semi-groups of operators and the Weierstrass theorem, Bull. Amer. Math. Soc. 52 (1946), 911–914. MR 19218, DOI 10.1090/S0002-9904-1946-08673-5
- Lars Gårding, Note on continuous representations of Lie groups, Proc. Nat. Acad. Sci. U.S.A. 33 (1947), 331–332. MR 21943, DOI 10.1073/pnas.33.11.331
- I. Gelfand, On one-parametrical groups of operators in a normed space, C. R. (Doklady) Acad. Sci. URSS (N. S.) 25 (1939), 713–718. MR 0002025
- Einar Hille, Functional Analysis and Semi-Groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, New York, 1948. MR 0025077
- I. E. Segal, Topological groups in which multiplication of one side is differentiable, Bull. Amer. Math. Soc. 52 (1946), 481–487. MR 17284, DOI 10.1090/S0002-9904-1946-08597-3
- P. A. Smith, Foundations of the theory of Lie groups with real parameters, Ann. of Math. (2) 44 (1943), 481–513. MR 8813, DOI 10.2307/1968977
- P. A. Smith, Foundation of Lie groups, Ann. of Math. (2) 48 (1947), 29–42. MR 19624, DOI 10.2307/1969213
- Kôsaku Yosida, On the differentiability and the representation of one-parameter semi-group of linear operators, J. Math. Soc. Japan 1 (1948), 15–21. MR 28537, DOI 10.2969/jmsj/00110015 11. K. Yosida, An operator-theoretical treatment of temporally homogeneous Markoff process, Journal of the Mathematical Society of Japan.
- Kôsaku Yosida, Brownian motion on the surface of the 3–sphere, Ann. Math. Statistics 20 (1949), 292–296. MR 30152, DOI 10.1214/aoms/1177730038
Additional Information
- Journal: Bull. Amer. Math. Soc. 56 (1950), 89-114
- DOI: https://doi.org/10.1090/S0002-9904-1950-09367-7
- MathSciNet review: 0035778