Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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REDUCING SUBSPACES OF WEIGHTED SHIFTS WITH OPERATOR WEIGHTS

  • Gu, Caixing (Department of Mathematics California Polytechnic State University)
  • Received : 2015.09.20
  • Published : 2016.09.30
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Abstract

We characterize reducing subspaces of weighted shifts with operator weights as wandering invariant subspaces of the shifts with additional structures. We show how some earlier results on reducing subspaces of powers of weighted shifts with scalar weights on the unit disk and the polydisk can be fitted into our general framework.

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References

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