논문KCI 등재
Closeness and equivalence of some unbounded representations of amenable groups
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Continuing the study of representations of amenable groups, we investigate the simplest model case of the problem concerning similarity of norm close (not necessarily bounded) finite-dimensional representations of an amenable group.
Abstract
Continuing the study of representations of amenable groups, we investigate the simplest model case of the problem concerning similarity of norm close (not necessarily bounded) finite-dimensional representations of an amenable group.
참고문헌 (7)
- Greenleaf F. P., "Invariant means on topological groups and their applications" (1969), Van Nostrand
- Paterson A. L. T., "Amenability", Amenability, Amer. Math. Soc., Providence, RI (1988)
- Johnson B. E., "Approximately multiplicative maps between Banach algebras", J. London Math. Soc, 37(2), pp.294~316 (1988)
- Shtern A. I., "Quasi-symmetry. I", Russ. J. Math. Phys, 2(3), pp.353~382 (1994)
- Shtern A. I., "A simplified model for finite-dimensional quasirepresentations of amenable groups", Proc. Jangjeon Math. Soc, 15(4), pp.355~360 (2012)
- Shtern A. I., "On operators in Frechet spaces that are similar to isometries", Vestnik Moskov. Univ. Ser. I Mat. Mekh, (4), pp.67~70 (1991)
- 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
관련 논문AI추천
Simplified model for finite-dimensional quasirepresentaions of amenable groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제4호Representations approximating quasirepresentations of amenable groups can depend on the choice of an invariant meanA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제3호A SPECIAL CASE OF AN UNBOUNDED PSEUDOREPRESENTATION OF AN AMENABLE GROUPA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제3호Approximation of some unbounded quasirepresentations of amenable groups several open problemsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제4호A 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 제3호FINITE-DIMENSIONAL QUASIREPRESENTATIONS ARE ALMOST BOUNDEDA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제1호
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