Research output: Contribution to journal › Article › peer-review
Journal | Integral Equations and Operator Theory |
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Date | Published - Dec 2008 |
Issue number | 4 |
Volume | 62 |
Number of pages | 5 |
Pages (from-to) | 585-589 |
Original language | English |
We show that if V-alpha (alpha > 0) is the Riemann-Liouville fractional integration operator and T is an invertible operator on L-2(0, 1) which commutes with V, then TV alpha is not supercyclic on L-2(0, 1); in particular, many Volterra convolution operators are not supercyclic. The technique is based on an argument used by Gallardo-Gutierrez and Montes-Rodriguez to show that V is not supercyclic.
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