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ORBITS OF SEMIGROUPS OF TRUNCATED CONVOLUTION OPERATORS
- Source :
- Shkarin, S 2012, ' Orbits of semigroups of truncated convolution operators ' Glasgow Mathematical Journal, vol 54, pp. 399-414 .
- Publication Year :
- 2012
- Publisher :
- Cambridge University Press (CUP), 2012.
-
Abstract
- 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.
Details
- ISSN :
- 1469509X and 00170895
- Volume :
- 54
- Database :
- OpenAIRE
- Journal :
- Glasgow Mathematical Journal
- Accession number :
- edsair.doi.dedup.....3f66743456cddc9fb096b68ee9ef1c63
- Full Text :
- https://doi.org/10.1017/s0017089512000055