논문KCI 등재
LOCAL EXPONENTIAL STABILITY OF GROUP QUASIREPRESENTATIONS WITH AN ORBIT WHOSE CLOSURE CONTAINS THE ORIGIN
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초록
We consider a “local” version of the superstability statement for quasirepresentations of groups on topological vector spaces and Banach spaces, namely, we find conditions under which a given quasirepresentation having an orbit whose closure contains the origin admits a nontrivial subquasirepresentation which is an ordinary representation.
Abstract
We consider a “local” version of the superstability statement for quasirepresentations of groups on topological vector spaces and Banach spaces, namely, we find conditions under which a given quasirepresentation having an orbit whose closure contains the origin admits a nontrivial subquasirepresentation which is an ordinary representation.
참고문헌 (7)
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- A. I. Shtern, "Quasisymmetry. II", Russ. J. Math. Phys., 14(3), pp.332~346 (2007)
- 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)
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- 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)
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