Chaotic polynomials on Fréchet spaces
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- by Alfredo Peris PDF
- Proc. Amer. Math. Soc. 127 (1999), 3601-3603 Request permission
Erratum: Proc. Amer. Math. Soc. 129 (2001), 3759-3760.
Abstract:
Contrary to the case of polynomials on Banach spaces, in which it is known that no hypercyclic homogeneous polynomial of degree $m \geq 2$ exists on any Banach space, we construct for each $m \geq 2$ a chaotic $m$-homogeneous polynomial $P$ on the Fréchet space $\mathcal {H}(\mathbb {C} )$.References
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Additional Information
- Alfredo Peris
- Affiliation: Departamento de Matemática Aplicada, E.T.S. Arquitectura, Universidad Politécnica de Valencia, E-46071 Valencia, Spain
- Email: aperis@pleiades.upv.es
- Received by editor(s): December 29, 1997
- Received by editor(s) in revised form: February 17, 1998
- Published electronically: May 13, 1999
- Additional Notes: This research was supported in part by DGICYT under Proyecto PB94-0541.
- Communicated by: Theodore W. Gamelin
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 3601-3603
- MSC (1991): Primary 46G20, 46A04, 58F08
- DOI: https://doi.org/10.1090/S0002-9939-99-04937-0
- MathSciNet review: 1610769