Criteria for the continuity of finite-dimensional representations of connected locally compact groups

Sbornik Mathematics

Volumn 195, Issue 9-10, 2004, Pages 1377-1391

  Shtern, A I ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 12144261044     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/SM2004v195n09ABEH000849     Document Type: Article

References (13)

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2. A. I. Shtern, "Criteria for weak and strong continuity of representations of topological groups in Banach spaces", Mat. Sb. 193:9 (2002), 139-156; English transl. in Sb. Math. 193 (2002).
3. A. I. Shtern, "Continuity of Banach representations in terms of point variations", Russian J. Math. Phys. 9:2 (2002), 251-253.
4. A. I. Shtern, "Continuity criteria for finite-dimensional representations of compact connected groups", Adv. Stud. Contemp. Math. 6:2 (2003), 141-156.
5. A. I. Shtern, "Continuity conditions for finite-dimensional representations of some compact totally disconnected groups", Adv. Stud. Contemp. Math. 8:1 (2004), 13-22.
6. K. H. Hofmann and S. A. Morris, The structure of compact groups, Walter de Gruyter, Berlin 1998.
7. E. Hewitt and K. A. Ross, Abstract harmonic analysis, vol. I, Springer-Verlag, Berlin 1979.
8. D. Montgomery and L. Zippin, Topological transformation groups, Interscience Publ., New York 1955.
9. V.M. Glushkov (Gluškov), "Structure of locally bicompact groups and Hilbert's fifth problem", Uspekhi Mat. Nauk 12:2 (1957), 3-41.
10. S. Ahdout, C. Hurwitz, G. Itzkowitz, S. Rothman, and H. Strassberg, "Maximal protori in compact topological groups", Papers on general topology and applications (Flushing, NY, 1992), Ann. New York Acad. Sci., vol. 728, New York Acad. Sci., New York 1994, pp. 227-236..
11. M. A. Naimark and A.I. Štern (Shtern), Theory of group representations, Springer-Verlag, New York 1982.
12. A. L.T. Paterson, Amenability, Amer. Math. Soc., Providence, RI 1988.
13. M. Stroppel, "Lie theory for non-Lie groups", J. Lie Theory 4:2 (1994), 257-284.