Israel Journal of Mathematics

, Volume 43, Issue 4, pp 315–323 | Cite as

On ɛ-representations

  • D. Kazhdan


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.


Banach Space Fundamental Group Unitary Representation Unitary Transformation Bounded Linear Operator 


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  1. 1.
    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.CrossRefMATHMathSciNetGoogle Scholar

Copyright information

© Hebrew University 1982

Authors and Affiliations

  • D. Kazhdan
    • 1
    • 2
  1. 1.Tel Aviv UniversityRamat AvivIsrael
  2. 2.Harvard UniversityCambridgeUSA

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