Abstract
For certain classes of groups we show that a map to the group of unitary transformations of a Hilbert space which is “almost” a homomorphism is uniformly close to a unitary representation.
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References
K. Grove, H. Karcher and E. A. Roh,Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems, Math. Ann.211 (1974), 7–21.
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Kazhdan, D. On ɛ-representations. Israel J. Math. 43, 315–323 (1982). https://doi.org/10.1007/BF02761236
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DOI: https://doi.org/10.1007/BF02761236