대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제10권4호
  • /
  • Pages.907-916
  • /
  • 1995
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

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)
  • 발행 : 1995.10.01
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초록

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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