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Israel Journal of Mathematics

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

On ɛ-representations

  • D. Kazhdan
Article

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.

Keywords

Banach Space Fundamental Group Unitary Representation Unitary Transformation Bounded Linear Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  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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