Linear independence of a hypercyclic orbit for semigroups
Linear independence of a hypercyclic orbit for semigroups
| dc.contributor.author | Moothathu, T. K.Subrahmonian | |
| dc.date.accessioned | 2022-03-27T04:08:57Z | |
| dc.date.available | 2022-03-27T04:08:57Z | |
| dc.date.issued | 2018-11-01 | |
| dc.description.abstract | A question of Conejero and Peris from 2005 asks the following: if {T(t)}t≥0 is a strongly continuous semigroup of operators acting on a Banach space, is the orbit {T(t)x:t≥0} of a hypercyclic vector x always linearly independent? We give a positive answer to this question for complex Banach spaces under the assumption that the spectrum σ(A) of the generator A of the semigroup is nonempty. | |
| dc.identifier.citation | Journal of Mathematical Analysis and Applications. v.467(1) | |
| dc.identifier.issn | 0022247X | |
| dc.identifier.uri | 10.1016/j.jmaa.2018.07.032 | |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/abs/pii/S0022247X18306140 | |
| dc.identifier.uri | https://dspace.uohyd.ac.in/handle/1/6555 | |
| dc.subject | Generator of a semigroup | |
| dc.subject | Hypercyclic vector | |
| dc.subject | Linear independence | |
| dc.subject | Spectral theory | |
| dc.subject | Strongly continuous semigroup | |
| dc.title | Linear independence of a hypercyclic orbit for semigroups | |
| dc.type | Journal. Article | |
| dspace.entity.type |
Files
License bundle
1 - 1 of 1