Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON THE UNICELLULARITY OF AN OPERATOR

  • Joo Ho Kang (Department of Mathematics, Taegu University, Taegu, Korea) ;
  • Young Soo Jo (Department of Mathematics, Keimyung University, Taegu, Korea)
  • Published : 1995.10.01
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Abstract

The unilateral weighted shift operator $W_r$ with the weighted sequence ${r^n}^\infty_{n=0}$ is unicellular if $0 < r < 1$. In general, A + B is not unicellular even if A and B are unicellular. We will prove that $W_r + W^2_r$ is unicellular if $0 < r < 1$.

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