Simplified model for finite-dimensional quasirepresentaions of amenable groups
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As is well known, every finite-dimensional quasirepresentation of an amenable group in a dual Banach space admits an approximation by an ordinary representation, and the quality of this approximation depends on the defect of the quasirepresentation and on the bound for the norms of the bounded parts of the quasirepresentation operators. The information about the approximating ordinary representation is refined here.
Abstract
As is well known, every finite-dimensional quasirepresentation of an amenable group in a dual Banach space admits an approximation by an ordinary representation, and the quality of this approximation depends on the defect of the quasirepresentation and on the bound for the norms of the bounded parts of the quasirepresentation operators. The information about the approximating ordinary representation is refined here.
참고문헌 (6)
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- Shtern A. I, "Finite-dimensional quasi-representations of connected Lie groups and Mishchenko’ conjecture", J. Math. Sci, 159(5), pp.653~651 (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
- Greenleaf F. P, "Invariant means on topological groups and their applications" (1969), Van Nostrand
- Shtern A. I, "Rigidity and approximation of quasi-representations of amenable groups", Math. Notes, 65(6), pp.760~769 (1999)