Ergodic properties of linear operators
Let T be a bounded linear operator on a Banach space X. We prove some properties of X1 = {z ( X: limnn∑k=1 Tkz/k exists} and we construct an operator T such that limnTn/n = 0, but (I - T)X is not included in X1.
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00416932_v52_n1_p23_Becker |
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todo:paper_00416932_v52_n1_p23_Becker2023-10-03T14:51:19Z Ergodic properties of linear operators Becker, M.E. Let T be a bounded linear operator on a Banach space X. We prove some properties of X1 = {z ( X: limnn∑k=1 Tkz/k exists} and we construct an operator T such that limnTn/n = 0, but (I - T)X is not included in X1. Fil:Becker, M.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00416932_v52_n1_p23_Becker |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
Let T be a bounded linear operator on a Banach space X. We prove some properties of X1 = {z ( X: limnn∑k=1 Tkz/k exists} and we construct an operator T such that limnTn/n = 0, but (I - T)X is not included in X1. |
| format |
JOUR |
| author |
Becker, M.E. |
| spellingShingle |
Becker, M.E. Ergodic properties of linear operators |
| author_facet |
Becker, M.E. |
| author_sort |
Becker, M.E. |
| title |
Ergodic properties of linear operators |
| title_short |
Ergodic properties of linear operators |
| title_full |
Ergodic properties of linear operators |
| title_fullStr |
Ergodic properties of linear operators |
| title_full_unstemmed |
Ergodic properties of linear operators |
| title_sort |
ergodic properties of linear operators |
| url |
http://hdl.handle.net/20.500.12110/paper_00416932_v52_n1_p23_Becker |
| work_keys_str_mv |
AT beckerme ergodicpropertiesoflinearoperators |
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1807322814457315328 |