Reflexively Representable but Not Hilbert Representable Compact Flows and Semitopological Semigroups

@inproceedings{Megrelishvili2007ReflexivelyRB,
  title={Reflexively Representable but Not Hilbert Representable Compact Flows and Semitopological Semigroups},
  author={Michael Megrelishvili},
  year={2007}
}
We show that for many natural topological groups G (including the group Z of integers) there exist compact metric G-spaces (cascades for G = Z) which are reflexively but not Hilbert representable. This answers a question of T. Downarowicz. The proof is based on a classical example of W. Rudin and its generalizations. One more crucial step in the proof is our recent result which states that every weakly almost periodic function on a compact G-flow X comes from a G-representation of X on… CONTINUE READING

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