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Automatic continuity of locally bounded pseudocharacters on connected locally compact groups

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초록

We obtain a kind of automatic continuity result concerning locally bounded pseudocharacters on connected locally compact groups.

Abstract

We obtain a kind of automatic continuity result concerning locally bounded pseudocharacters on connected locally compact groups.

참고문헌 (9)

  1. A. I. Shtern, "Quasisymmetry. I", Russ. J. Math. Phys, 2(3), pp.353~382 (1994)
  2. A. I. Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", Fundam. Prikl. Mat, 13(7), pp.85~225 (2007)
  3. A. I. Shtern, "Automatic continuity of pseudocharacters on semisimple Lie groups", Mat. Zametki, 80(3), pp.456~464 (2006)
  4. A. I. Shtern, "Extension of pseudocharacters from normal subgroups", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(4), pp.427~433 (2015), 장전수학회
  5. A. I. Shtern, "EXTENSION OF PSEUDOCHARACTERS FROM NORMAL SUBGROUPS, II", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(2), pp.213~218 (2016), 장전수학회
  6. A. I. Shtern, "EXTENSION OF CHARACTERS ON THE NORMAL SUBGROUP OF A SEMI-DIRECT PRODUCT GROUP TO ONE-DIMENSIONAL PSEUDOREPRESENTATIONS OF THE GROUP", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(3), pp.451~455 (2016), 장전수학회
  7. K. Iwasawa, "On some types of topological groups", Ann. of Math, 50(3), pp.507~558 (1949)
  8. A. I Shtern, "Corrected automatic continuity conditions for finite-dimensional representations of connected Lie groups", Russ. J. Math. Phys, 21(1), pp.133~134 (2014)
  9. V. S. Varadarajan, "Lie Groups, Lie Algebras, and Their Representations" (1974), Prentice-Hall

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