ORBITS OF SEMIGROUPS OF TRUNCATED CONVOLUTION OPERATORS
Glasgow mathematical journal, Tome 54 (2012) no. 2, pp. 399-414

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DOI

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.
DOI : 10.1017/S0017089512000055
Mots-clés : 47A16, 37B99
SHKARIN, STANISLAV. ORBITS OF SEMIGROUPS OF TRUNCATED CONVOLUTION OPERATORS. Glasgow mathematical journal, Tome 54 (2012) no. 2, pp. 399-414. doi: 10.1017/S0017089512000055
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     author = {SHKARIN, STANISLAV},
     title = {ORBITS {OF} {SEMIGROUPS} {OF} {TRUNCATED} {CONVOLUTION} {OPERATORS}},
     journal = {Glasgow mathematical journal},
     pages = {399--414},
     year = {2012},
     volume = {54},
     number = {2},
     doi = {10.1017/S0017089512000055},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000055/}
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