Hypercyclic homogeneous polynomials on H(C)
It is known that homogeneous polynomials on Banach spaces cannot be hypercyclic, but there are examples of hypercyclic homogeneous polynomials on some non-normable Fréchet spaces. We show the existence of hypercyclic polynomials on H(C), by exhibiting a concrete polynomial which is also the first ex...
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Academic Press Inc.
2018
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| LEADER | 06137caa a22006497a 4500 | ||
|---|---|---|---|
| 001 | PAPER-17753 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204908.0 | ||
| 008 | 190410s2018 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-85035032092 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a JAXTA | ||
| 100 | 1 | |a Cardeccia, R. | |
| 245 | 1 | 0 | |a Hypercyclic homogeneous polynomials on H(C) |
| 260 | |b Academic Press Inc. |c 2018 | ||
| 270 | 1 | 0 | |m Muro, S.; Departamento de Matemática-Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos AiresArgentina; email: smuro@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a Martínez-Giménez, F., Peris, A., Existence of hypercyclic polynomials on complex Fréchet spaces (2009) Topology Appl., 156 (18), pp. 3007-3010 | ||
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| 520 | 3 | |a It is known that homogeneous polynomials on Banach spaces cannot be hypercyclic, but there are examples of hypercyclic homogeneous polynomials on some non-normable Fréchet spaces. We show the existence of hypercyclic polynomials on H(C), by exhibiting a concrete polynomial which is also the first example of a frequently hypercyclic homogeneous polynomial on any F-space. We prove that the homogeneous polynomial on H(C) defined as the product of a translation operator and the evaluation at 0 is mixing, frequently hypercyclic and chaotic. We prove, in contrast, that some natural related polynomials fail to be hypercyclic. © 2017 Elsevier Inc. |l eng | |
| 593 | |a Departamento de Matemática-Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina; CONICET, Argentina | ||
| 690 | 1 | 0 | |a ENTIRE FUNCTIONS |
| 690 | 1 | 0 | |a FREQUENTLY HYPERCYCLIC OPERATORS |
| 690 | 1 | 0 | |a HOMOGENEOUS POLYNOMIALS |
| 690 | 1 | 0 | |a UNIVERSAL FUNCTIONS |
| 700 | 1 | |a Muro, S. | |
| 773 | 0 | |d Academic Press Inc., 2018 |g v. 226 |h pp. 60-72 |p J. Approx. Theory |x 00219045 |t Journal of Approximation Theory | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-85035032092&doi=10.1016%2fj.jat.2017.09.005&partnerID=40&md5=5d0646d3df45ca4c0294c6cbab129a4e |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.jat.2017.09.005 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_00219045_v226_n_p60_Cardeccia |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219045_v226_n_p60_Cardeccia |y Registro en la Biblioteca Digital |
| 961 | |a paper_00219045_v226_n_p60_Cardeccia |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 78706 | ||