Journal of Soviet Mathematics

, Volume 49, Issue 6, pp 1263–1266 | Cite as

A spectral criterion of asymptotic almost periodicity for uniformly continuous representations of abelian semigroups

  • Vu Kuok Fong
  • Yu. I. Lyubich


Assume that the unitary asymptotic spectrum of a representation T is at most countable. Then for asymptotic almost periodicity it is necessary and sufficient that the eigensubspaces of the representations T, T*, corresponding to the unitary weights, should be in duality.


Unitary Weight Continuous Representation Abelian Semigroup Spectral Criterion Asymptotic Spectrum 
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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • Vu Kuok Fong
  • Yu. I. Lyubich

There are no affiliations available

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