논문KCI 등재
FINITE-DIMENSIONAL QUASIREPRESENTATIONS ARE ALMOST BOUNDED
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참고문헌
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초록
It is proved that every finite-dimensional quasirepresentation of an arbitrary group is automatically almost bounded
Abstract
It is proved that every finite-dimensional quasirepresentation of an arbitrary group is automatically almost bounded
참고문헌 (14)
- A. I. Shtern, "Quasisymmetry. I", Russ. J. Math. Phys., 2(3), pp.353~382 (1994)
- A. I. Shtern, "Triviality and Continuity of Pseudocharacters and Pseudorepresentations", Russ. J. Math. Phys., 5(1), pp.135~138 (1998)
- A. I. Shtern, "Quasisymmetry. II", Russ. J. Math. Phys., 14(3), pp.332~346 (2007)
- A. I. Shtern, "Quasirepresentations of amenable groups: results, errors, and hopes", Russ. J. Math. Phys., 20(2), pp.239~253 (2013)
- A. I. Shtern, "Rigidity and approximation of quasirepresentations of amenable groups", Mat. Zametki, 65(6), pp.908~920 (1999)
- M. Burger, "On Ulam stability", Israel J. Math., 193(1), pp.109~129 (2013)
- A. I. Shtern, "Closeness and equivalence of some unbounded representations of amenable groups", Advanced Studies in Contemporary Mathematics, 23(3), pp.367~373 (2013), 장전수학회
- A. I. Shtern, "Approximation of some unbounded quasirepresentations of amenable groups several open problems", Advanced Studies in Contemporary Mathematics, 22(4), pp.597~601 (2012), 장전수학회
- A. I. Shtern, "Unbounded tame quasirepresentations with commutative discrepancies for amenable groups", Infin. Dimens. Anal. Quantum Probab. Relat. Top., 16(3), pp.1350025~1350028 (2013)
- A. I. Shtern, "Quasirepresentations of amenable groups: unbounded tame quasirepresentations", Russ. J. Math. Phys., 20(3), pp.380~382 (2013)
- B. E. Johnson, "Approximately multiplicative maps between Banach algebras", J. London Math. Soc., 37(2), pp.294~316 (1988)
- A. I. Shtern, "On a Class of Quasirepresentations", Russian J. Math. Phys., 21(4), pp.453~456 (2014)
- A. I. Shtern, "Finite-dimensional quasi-representations of connected Lie groups and Mishchenko’s conjecture", J. Math. Sci., 159(5), pp.653~751 (2009)
- A. I. Shtern, "REMARKS ON FINITE-DIMENSIONAL LOCALLY BOUNDED FINALLY PRECONTINUOUS QUASIREPRESENTATIONS OF LOCALLY COMPACT GROUPS", Advanced Studies in Contemporary Mathematics, 20(4), pp.469~480 (2010), 장전수학회
관련 논문AI추천
A QUALITATIVE RESULT CONCERNING QUASIREPRESENTATIONS OF COMPACT GROUPSA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제2호A class of simple Lie groups whose quasirepresentations with small defect can be approximated by an ordinary representationA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호Simplified model for finite-dimensional quasirepresentaions of amenable groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제4호Closeness and equivalence of some unbounded representations of amenable groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제3호IRREDUCIBLE LOCALLY BOUNDED FINITE-DIMENSIONAL PSEUDOREPRESENTATIONS OF CONNECTED LIE GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제3호A NONTRIVIAL BANACH SPACE QUASIREPRESENTATION WHOSE NONZERO DEFECT OPERATORS ARE NONDEGENERATE IS BOUNDEDA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호
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