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Hypercyclic operators failing the Hypercyclicity Criterion on classical Banach spaces
- Source :
-
Journal of Functional Analysis . Sep2007, Vol. 250 Issue 2, p426-441. 16p. - Publication Year :
- 2007
-
Abstract
- Abstract: By a recent result of M. De La Rosa and C. Read, there exist hypercyclic Banach space operators which do not satisfy the Hypercyclicity Criterion. In the present paper, we prove that such operators can be constructed on a large class of Banach spaces, including or . [Copyright &y& Elsevier]
- Subjects :
- *FUNCTIONAL analysis
*CALCULUS of variations
*MAXIMA & minima
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 250
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 26146728
- Full Text :
- https://doi.org/10.1016/j.jfa.2007.05.001