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Topologically transitive skew-products of backward shift operators and hypercyclicity
Author(s):
George
Costakis;
Demetris
Hadjiloucas
Journal:
Proc. Amer. Math. Soc.
136
(2008),
937-946.
MSC (2000):
Primary 47A16, 28D99
Posted:
November 30, 2007
MathSciNet review:
2361867
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Abstract:
In this article we look at skew-products of multiples of the backward shift and examine conditions under which the skew-product is topologically transitive or hypercyclic in the second coordinate. We also give an application of the theory to iterated function systems of multiples of backward shift operators.
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Additional Information:
George
Costakis
Affiliation:
Department of Mathematics, University of Crete, Knossos Avenue, GR-714 09, Heraklion, Crete, Greece
Email:
costakis@math.uoc.gr
Demetris
Hadjiloucas
Affiliation:
The School of Computer Science and Engineering, Cyprus College, 6 Diogenes Street, Engomi, P. O. Box 22006, 1516 Nicosia, Cyprus
Email:
dhadjiloucas@cycollege.ac.cy
DOI:
10.1090/S0002-9939-07-09001-6
PII:
S 0002-9939(07)09001-6
Keywords:
Hypercyclic operators,
skew-product
Received by editor(s):
August 22, 2006
Received by editor(s) in revised form:
November 7, 2006
Posted:
November 30, 2007
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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