Linear dynamics of semigroups generated by differential operators
During the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the sense of Li-Yorke, subchaos, mixing and weakly mixing properties, and frequent hyp...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-06-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2017-0065 |
| _version_ | 1818737154755395584 |
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| author | Alberto Conejero J. Lizama Carlos Murillo-Arcila Marina Peris Alfredo |
| author_facet | Alberto Conejero J. Lizama Carlos Murillo-Arcila Marina Peris Alfredo |
| author_sort | Alberto Conejero J. |
| collection | DOAJ |
| description | During the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the sense of Li-Yorke, subchaos, mixing and weakly mixing properties, and frequent hypercyclicity, among others. These notions have been extended, as far as possible, to the setting of C0-semigroups of linear and continuous operators. |
| first_indexed | 2024-12-18T00:48:32Z |
| format | Article |
| id | doaj.art-fb3addca2c7c4a4bb0717de964285860 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-18T00:48:32Z |
| publishDate | 2017-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-fb3addca2c7c4a4bb0717de9642858602022-12-21T21:26:45ZengDe GruyterOpen Mathematics2391-54552017-06-0115174576710.1515/math-2017-0065math-2017-0065Linear dynamics of semigroups generated by differential operatorsAlberto Conejero J.0Lizama Carlos1Murillo-Arcila Marina2Peris Alfredo3Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de VaÌencia, E-46022, València, SpainDepartamento de Matemática y Ciencia de la Computación, Facultad de Ciencias, Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, ChileInstitut Universitari de Matemàtiques i Aplicacions de Castelló (IMAC), Escuela Superior de Tecnología y Ciencias Experimentales, Universitat Jaume I, Campus de Riu Sec, E-12071, Castelló de la Plana, SpainInstituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de VaÌencia, E-46022, València, SpainDuring the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the sense of Li-Yorke, subchaos, mixing and weakly mixing properties, and frequent hypercyclicity, among others. These notions have been extended, as far as possible, to the setting of C0-semigroups of linear and continuous operators.https://doi.org/10.1515/math-2017-0065hypercyclicitytopological transitivitytopologically mixing propertydevaney chaosc0-semigroups47a16 |
| spellingShingle | Alberto Conejero J. Lizama Carlos Murillo-Arcila Marina Peris Alfredo Linear dynamics of semigroups generated by differential operators Open Mathematics hypercyclicity topological transitivity topologically mixing property devaney chaos c0-semigroups 47a16 |
| title | Linear dynamics of semigroups generated by differential operators |
| title_full | Linear dynamics of semigroups generated by differential operators |
| title_fullStr | Linear dynamics of semigroups generated by differential operators |
| title_full_unstemmed | Linear dynamics of semigroups generated by differential operators |
| title_short | Linear dynamics of semigroups generated by differential operators |
| title_sort | linear dynamics of semigroups generated by differential operators |
| topic | hypercyclicity topological transitivity topologically mixing property devaney chaos c0-semigroups 47a16 |
| url | https://doi.org/10.1515/math-2017-0065 |
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