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Bounded structure and continuity for homomorphisms of perfect connected locally compact groups

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In the paper, we discuss properties related to the automatic continuity for homomorphisms between connected locally compact groups.

Abstract

In the paper, we discuss properties related to the automatic continuity for homomorphisms between connected locally compact groups.

참고문헌 (5)

  1. L. Kramer, "The topology of a semisimple Lie group is essentially unique", Adv. Math, 228, pp.2623~2633 (2011)
  2. A. I. Shtern, "Rigidity of the topology on the linear perfect connected Lie groups", Proc. Jangjeon Math. Soc, 14(4), pp.395~398 (2011)
  3. A. I. Shtern, "A version of the van der Waerden theorem and the proof of the Mishchenko conjecture for homomorphisms of locally compact groups", Izv. Ross. Akad. Nauk Ser. Mat, 72(1), pp.183~124 (2008)
  4. A. I. Shtern, "Van der Waerden's continuity theorem for the commutator subgroups of connected Lie groups and Mishchenko's conjecture", Advanced Studies in Contemporary Mathematics, 13(2), pp.143~158 (2006), 장전수학회
  5. A. I. Shtern, "Structure properties and real continuous bounded 2-cohomology of locally compact groups", Funct. Anal. Appl, 35(4), pp.294~204 (2001)

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