논문KCI 등재
INNER INVARIANCE OF THE KERNEL OF A BANACH SPACE PSEUDOREPRESENTATION OF A GROUP
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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)
- 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)
- 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)
- A. I. Shtern, "Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups", Sb. Math, 208(10), pp.1557~1576 (2017)
- A. I. Shtern, "A pseudocharacter that is determined by the Rademacher symbol", Russian Math. Surveys, 45(3), pp.224~226 (1990)
- 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)
- A. I. Shtern, "EXTENSION OF PSEUDOCHARACTERS FROM NORMAL SUBGROUPS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(4), pp.427~433 (2015), 장전수학회
- 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
- 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
- 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
- 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]
관련 논문AI추천
GROUP PSEUDOREPRESENTATIONS THAT ARE TRIVIAL ON A NORMAL SUBGROUPA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2021 · 제24권 제3호PROPERTIES OF PURE PSEUDOREPRESENTATIONS OF COMMUTATIVE GROUPSA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2021 · 제24권 제1호A NONTRIVIAL BANACH SPACE QUASIREPRESENTATION WHOSE NONZERO DEFECT OPERATORS ARE NONDEGENERATE IS BOUNDEDA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호A DECOMPOSITION OF THE SPACE OF PSEUDOCHARACTERS ON A GROUP WITH RESPECT TO A NORMAL SUBGROUPA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2021 · 제24권 제4호Simplified model for finite-dimensional quasirepresentaions of amenable groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제4호A SPECIAL CASE OF AN UNBOUNDED PSEUDOREPRESENTATION OF AN AMENABLE GROUPA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제3호
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