Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Ergodic properties of linear operators |
Autor: | Becker, M.E. |
Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
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Año: | 2011
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Volumen: | 52
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Número: | 1
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Página de inicio: | 23
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Página de fin: | 25
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Título revista: | Revista de la Union Matematica Argentina
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Título revista abreviado: | Rev. Union Mat. Argent.
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ISSN: | 00416932
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v52_n1_p23_Becker |
Referencias:
- Becker, M., A condition equivalent to uniform ergodicity (2005) Studia Math, 167, pp. 215-218
- Grabiner, S., Zemánek, J., Ascent, descent and ergodic properties of linear operators (2002) J. Operator Theory, 48, pp. 69-81
- Lin, M., On the uniform ergodic theorem (1974) Proc. Amer. Math. Soc., 43, pp. 337-340
Citas:
---------- APA ----------
(2011)
. Ergodic properties of linear operators. Revista de la Union Matematica Argentina, 52(1), 23-25.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v52_n1_p23_Becker [ ]
---------- CHICAGO ----------
Becker, M.E.
"Ergodic properties of linear operators"
. Revista de la Union Matematica Argentina 52, no. 1
(2011) : 23-25.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v52_n1_p23_Becker [ ]
---------- MLA ----------
Becker, M.E.
"Ergodic properties of linear operators"
. Revista de la Union Matematica Argentina, vol. 52, no. 1, 2011, pp. 23-25.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v52_n1_p23_Becker [ ]
---------- VANCOUVER ----------
Becker, M.E. Ergodic properties of linear operators. Rev. Union Mat. Argent. 2011;52(1):23-25.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v52_n1_p23_Becker [ ]