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ORBITS OF SEMIGROUPS OF TRUNCATED CONVOLUTION OPERATORS

Published online by Cambridge University Press:  29 March 2012

STANISLAV SHKARIN
STANISLAV SHKARIN*
Affiliation:
Queens's University Belfast, Pure Mathematics Research Centre, University road, Belfast, BT7 1NN, UK e-mail: s.shkarin@qub.ac.uk
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Abstract

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We prove that a semigroup generated by finitely many truncated convolution operators on Lp[0, 1] with 1 ≤ p < ∞ is non-supercyclic. On the other hand, there is a truncated convolution operator, which possesses irregular vectors.

Keywords

47A1637B99
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 2 , May 2012 , pp. 399 - 414
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

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