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EXPONENTIAL STABILITY OF QUASIREPRESENTATIONS ON TOPOLOGICAL VECTOR SPACES

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초록

We establish new conditions for the superstability of quasirepresentations of semigroups on topological vector spaces.

Abstract

We establish new conditions for the superstability of quasirepresentations of semigroups on topological vector spaces.

참고문헌 (10)

  1. A. I. Shtern, "Quasisymmetry. I", Russ. J. Math. Phys., 2(3), pp.353~382 (1994)
  2. A. I. Shtern, "Triviality and Continuity of Pseudocharacters and Pseudorepresentations", Russ. J. Math. Phys, 5(1), pp.135~138 (1998)
  3. A. I. Shtern, "Bounded Continuous Real 2-Cocycles on Simply Connected Simple Lie Groups and Their Applications", Russ. J. Math. Phys, 8(1), pp.122~133 (2001)
  4. A. I. Shtern, "Quasisymmetry. II", Russ. J. Math. Phys, 14(3), pp.332~346 (2007)
  5. J. A. Baker, "The stability of the equation f(x + y) =f(x)f(y)", Proc. Amer. Math. Soc, 74(2), pp.242~246 (1979)
  6. A. I. Shtern, "The rigidity of positive characters", Meetings of the Moscow Mathematical Society, Uspekhi Mat. Nauk, 35(5), pp.218~ (1980)
  7. R. Ger, "The stability of the exponential equation", Proc. Amer. Math. Soc, 124(3), pp.779~787 (1996)
  8. A. I. Shtern, "Exponential stability of quasihomomorphisms into Banach algebras and a Ger–ˇSemrl theorem", Russ. J. Math. Soc, 22(1), pp.141~142 (2015)
  9. A. I. Shtern, "Rigidity and Approximation of Quasirepresentations of Amenable Groups", Mat. Zametki, 65(6), pp.908~920 (1999)
  10. H. H. Schaefer, "Topological Vector Spaces" (1999), Springer-Verlag

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