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INNER INVARIANCE OF THE KERNEL OF A BANACH SPACE PSEUDOREPRESENTATION OF A GROUP

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주제분류수학

초록

We prove that the kernel of an arbitrary pseudorepresentation in a dual Banach space with a sufficiently small defect is invariant with respect to all inner automorphisms of the group.

Abstract

We prove that the kernel of an arbitrary pseudorepresentation in a dual Banach space with a sufficiently small defect is invariant with respect to all inner automorphisms of the group.

참고문헌 (10)

  1. A. I. Shtern, "A version of van der Waerden’s theorem and a proof of Mishchenko’s conjecture on homomorphisms of locally compact groups", Izv. Math, 72(1), pp.169~205 (2008)
  2. A. I. Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", J. Math. Sci. (N. Y. ), 159(5), pp.653~751 (2009)
  3. A. I. Shtern, "Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups", Sb. Math, 208(10), pp.1557~1576 (2017)
  4. A. I. Shtern, "A pseudocharacter that is determined by the Rademacher symbol", Russian Math. Surveys, 45(3), pp.224~226 (1990)
  5. A. I. Shtern, "Representations associated to quasirepresentations of amenable groups with zero multiplication of defect operators", Russ. J. Math. Phys, 24(3), pp.373~375 (2017)
  6. A. I. Shtern, "EXTENSION OF PSEUDOCHARACTERS FROM NORMAL SUBGROUPS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(4), pp.427~433 (2015), 장전수학회
  7. 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
  8. A. I. Shtern, "EXTENSION OF PSEUDOCHARACTERS FROM NORMAL SUBGROUPS, III", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(4), pp.609~614 (2016), 장전수학회
  9. 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
  10. A. I. Shtern, "CORRECTIONS TO “EXTENSIONS OF CHARACTERS OF THE NORMAL SUBGROUP OF A SEMIDIRECT PRODUCT GROUP TO ONE-DIMENSIONAL PSEUDOREPRESENTATIONS OF THE GROUP”", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(2), pp.313~317 (2017), 장전수학회[DOI]

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