논문KCI 등재
Representations approximating quasirepresentations of amenable groups can depend on the choice of an invariant mean
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In the paper, the dependence of an ordinary representation constructed by some averaging process and approximating a given quasirepresentation of an amenable group on the choice of an invariant mean used in the averaging processes is discussed.
Abstract
In the paper, the dependence of an ordinary representation constructed by some averaging process and approximating a given quasirepresentation of an amenable group on the choice of an invariant mean used in the averaging processes is discussed.
참고문헌 (12)
- Shtern A. I., "Quasisymmetry", I, Russian J. Math. Phys, 2(3), pp.353~382 (1994)
- Shtern A. I, "Finite-dimensional quasi-representations of connected Lie groups and Mishchenko’s conjecture", J. Math. Sci, 159(5), pp.653~751 (2009)
- Grove K, "Jacobi fields and Finsler metrics on a compact Lie groups with an application to differential pinching problems", Math. Ann, 211(1), pp.7~21 (1974)
- de la Harpe P, "Representations approch´ees d’un groupe dans une alg´ebre de Banach", Manuscripta Math, 22(3), pp.297~310 (1977)
- Shtern A. I., "Norm continuous representations of locally compact groups", Russ. J. Math. Phys, 15(4), pp.552~553 (2008)
- Kazhdan D, "On ²-representations", Israel J. Math, 43(4), pp.315~323 (1982)
- Faiziev V. A, "Pseudocharacters on free products of semigroups", Funct. Anal. Appl, 21(1), pp.77~79 (1987)
- Shtern A. I, "Rigidity and approximation of quasi-representations of amenable groups", Math. Notes, 65(6), pp.760~769 (1999)
- Shtern A. I, "On operators in Fr´echet spaces that are similar to isometries", Moscow Univ. Math. Bull, 46(4), pp.47~48 (1991)
- Greenleaf F.P, "Invariant means on topological groups and their applications" (1969), Van Nostrand
- Shtern A. I., "Almost convergence and its applications to the Fourier–Stieltjes localization", Russian J. Math. Phys, 1(1), pp.115~125 (1993)
- Shtern A. I, "A direct proof of a corollary to a theorem of B. E. Johnson", ~
관련 논문AI추천
Closeness and equivalence of some unbounded representations of amenable groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제3호Simplified 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 제3호Approximation of some unbounded quasirepresentations of amenable groups several open problemsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제4호A 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 제3호
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