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Harish-Chandra

Representations of a semisimple Lie group on a Banach space. I. (English) Zbl 0051.34002

Trans. Am. Math. Soc. 75, 185-243 (1953).
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Cited in 2 Reviews
Cited in 108 Documents

Keywords:

functional analysis
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References:

[1] S. Banach, Leçons sur les éspaces linéares, Warsaw, 1932.
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[8] Harish-Chandra, On representations of Lie algebras, Ann. of Math. (2) 50 (1949), 900 – 915. · Zbl 0035.01901 · doi:10.2307/1969586
[9] Kenkichi Iwasawa, On some types of topological groups, Ann. of Math. (2) 50 (1949), 507 – 558. · Zbl 0034.01803 · doi:10.2307/1969548
[10] Nathan Jacobson, Rational methods in the theory of Lie algebras, Ann. of Math. (2) 36 (1935), no. 4, 875 – 881. · Zbl 0012.33704 · doi:10.2307/1968593
[11] Jean-Louis Koszul, Homologie et cohomologie des algèbres de Lie, Bull. Soc. Math. France 78 (1950), 65 – 127 (French). · Zbl 0039.02901
[12] F. I. Mautner, Unitary representations of locally compact groups. II, Ann. of Math. (2) 52 (1950), 528 – 556. · Zbl 0039.02201 · doi:10.2307/1969431
[13] George Daniel Mostow, A new proof of E. Cartan’s theorem on the topology of semi-simple groups, Bull. Amer. Math. Soc. 55 (1949), 969 – 980. · Zbl 0037.01401
[14] F. J. Murray and J. Von Neumann, On rings of operators, Ann. of Math. (2) 37 (1936), no. 1, 116 – 229. · Zbl 0014.16101 · doi:10.2307/1968693
[15] I. E. Segal, Hypermaximality of certain operators on Lie groups, Proc. Amer. Math. Soc. 3 (1952), 13 – 15. · Zbl 0049.35704
[16] B. L. van der Waerden, Moderne Algebra, Berlin, Springer, 1937. · Zbl 0016.33902
[17] A. Weil, L’intégration dans les groupes topologiques et ses applications, Paris, Hermann, 1940. · Zbl 0063.08195
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