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Invariant subspaces of a measure preserving transformation

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Abstract

We consider, in this note, some invariant subspaces of a unitary operator induced by a measure preserving transformation. For these subspaces two problems are studied:

  1. a.

    Is the subspace generated by characteristic functions?

  2. b.

    When is an invariant subspace a reducing subspace?

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References

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Authors and Affiliations

  1. Northwestern University, Evanston, Illinois

    S. R. Foguel

  2. The Hebrew University of Jerusalem, Israel

    S. R. Foguel

Authors
  1. S. R. Foguel
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Additional information

This work was partially supported by N.S.F. Grant No. GP 2491.

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Foguel, S.R. Invariant subspaces of a measure preserving transformation. Israel J. Math. 2, 198–200 (1964). https://doi.org/10.1007/BF02759944

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  • DOI: https://doi.org/10.1007/BF02759944

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