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.

Detalles Bibliográficos
Autor principal: Becker, M.E.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00416932_v52_n1_p23_Becker
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
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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