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HYPERCYCLIC AND CHAOTIC CONVOLUTION OPERATORS

Published online by Cambridge University Press:  30 October 2000

JOSÉ BONET
JOSÉ BONET
Affiliation:
Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, E-46071 Valencia, Spain; jbonet@pleiades.upv.es
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Abstract

Every convolution operator on a space of ultradifferentiable functions of Beurling or Roumieu type and on the corresponding space of ultradistributions is hypercyclic and chaotic when it is not a multiple of the identity. The operator of differentiation is hypercyclic on the space A−∞, but it need not be hypercyclic on radial weighted algebras of entire functions.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 1 , August 2000 , pp. 253 - 262
Copyright
The London Mathematical Society 2000

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