Proceedings of the American Mathematical Society

Author(s): Félix Martínez-Giménez
Journal: Proc. Amer. Math. Soc. 135 (2007), 1741-1752.
MSC (2000): Primary 47A16, 47B37, 37D45, 46A04, 46A45
Posted: January 31, 2007
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Abstract: We study when the operator

is chaotic in the sense of Devaney on a Köthe echelon sequence space, where

is a weighted backward shift and $f(z)=\sum_{j=0}^\infty f_j z^j$ is a formal power series.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47A16, 47B37, 37D45, 46A04, 46A45

Félix Martínez-Giménez
Affiliation: Departamento de Matemática Aplicada, E.T.S.I. Agrónomos, Universidad Politécnica de Valencia, Camino Vera s/n, E-46022 Valencia, Spain
Email: fmarting@mat.upv.es

DOI: 10.1090/S0002-9939-07-08658-3
PII: S 0002-9939(07)08658-3
Keywords: Chaotic operators, hypercyclic operators, weighted backward shifts
Received by editor(s): March 14, 2005
Received by editor(s) in revised form: January 20, 2006
Posted: January 31, 2007
Additional Notes: This work was supported by FEDER and MCYT, Proyecto No. MTM2004--02262 and AVCIT Grupo 03/050
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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