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On the existence of exotic Banach-Lie groups. (English) Zbl 0502.22010

MSC:
22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties
22D12 Other representations of locally compact groups
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References:
[1] Banaszczyk, W.: On the existence of commutative Banach-Lie groups which do not admit continuous unitary representations. Colloq. Math. (to appear) · Zbl 0651.22011
[2] Bourbaki, N.: Groupes et algĂ©bres de Lie. Paris: Hermann 1971 · Zbl 0213.04103
[3] Burkholder, D.L.: Independent sequences with the Stein property. Ann. Math. Statist.39, 1282-1288 (1968) · Zbl 0162.49404 · doi:10.1214/aoms/1177698253
[4] Herer, W., Christensen, J.P.R.: On the existence of pathological submeasures and the construction of exotic topological groups. Math. Ann.213, 203-210 (1975) · Zbl 0311.28002 · doi:10.1007/BF01350870
[5] Hille, E., Phillips, R.S.: Functional analysis and semi-groups. Providence: American Mathematical Society 1957 · Zbl 0078.10004
[6] Kirillov, A.A.: Elements of the theory of representations. Moscow: Nauka 1978 (in Russian) · Zbl 0443.73016
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