Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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SUPERCYCLICITY OF TWO-ISOMETRIES

  • Ahmadi, M. Faghih (Department of Mathematics, College of Sciences, Shiraz University) ;
  • Hedayatian, K. (Department of Mathematics, College of Sciences, Shiraz University)
  • Received : 2007.10.25
  • Accepted : 2008.01.07
  • Published : 2008.03.25
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Abstract

A bounded linear operator T on a complex separable Hilbert space H is called a two-isometry, if $T^{*2}T^2-2T^*T+1=0$. In this paper it is shown that every two-isometry is not supercyclic. This generalizes a result due to Ansari and Bourdon.

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References

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  1. Powers of A-m-Isometric Operators and Their Supercyclicity vol.39, pp.3, 2016, https://doi.org/10.1007/s40840-015-0201-6