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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2011
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v52_n1_p23_Becker http://hdl.handle.net/20.500.12110/paper_00416932_v52_n1_p23_Becker |
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| Sumario: | 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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