Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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A Class of Invertible Bilateral Weighted Shifts

  • Jung, Il Bong (Department of Mathematics, Kyungpook National University) ;
  • Pearcy, Carl (Department of Mathematics, Texas A&M University)
  • Received : 2013.01.07
  • Accepted : 2013.02.05
  • Published : 2013.06.23
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Abstract

In this note we study a class of invertible weighted bilateral shifts on Hilbert space introduced by Haskell Rosenthal recently. We show that every Rosenthal shift is unitarily equivalent to its inverse, not quasisimilar to its adjoint, and has a nontrivial hyperinvariant subspace.

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References

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