Artículo
Becker, M.E. "A condition equivalent to uniform ergodicity" (2005) Studia Mathematica. 167(3):215-218
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Abstract:
Let T be a linear operator on a Banach space X with supn ∥Tn/nw∥ < ∞ for some 0 ≤ w < 1. We show that the following conditions are equivalent: (i) n-1 ∑k=0 n-1 Tk converges uniformly; (ii) cl (I-T)X = {z∈X: limn k=1 n Tk z/k exists}.
Registro:
| Documento: | Artículo |
| Título: | A condition equivalent to uniform ergodicity |
| Autor: | Becker, M.E. |
| Filiación: | Departamento de Matemática, Fac. Ciencias Exactes y Naturales, Universidad de Buenos Aires, Ciudad Universitaria Pab I, 1428 Buenos Aires, Argentina |
| Año: | 2005 |
| Volumen: | 167 |
| Número: | 3 |
| Página de inicio: | 215 |
| Página de fin: | 218 |
| DOI: | http://dx.doi.org/10.4064/sm167-3-2 |
| Título revista: | Studia Mathematica |
| Título revista abreviado: | Stud. Math. |
| ISSN: | 00393223 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v167_n3_p215_Becker |
Referencias:
- Ed-Dari, E., On the (C,α) uniform ergodic theorem (2003) Studia Math., 156, pp. 3-13
- Fonf, V., Lin, M., Rubinov, A., On the uniform ergodic theorem in Banach spaces that do not contain duals (1996) Studia Math., 121, pp. 67-85
- Grabiner, S., Zemánek, J., Ascent, descent and ergodic properties of linear operators (2002) J. Operator Theory, 48, pp. 69-81
- Krengel, U., (1985) Ergodic Theorems, , de Gruyter, Berlin
- Lin, M., On the uniform ergodic theorem (1974) Proc. Amer. Math. Soc., 43, pp. 337-340
- Yoshimoto, T., Uniform and strong ergodic theorems in Banach spaces (1998) Illinois J. Math., 42, pp. 525-543
Citas:
---------- APA ----------
(2005) . A condition equivalent to uniform ergodicity. Studia Mathematica, 167(3), 215-218.http://dx.doi.org/10.4064/sm167-3-2
---------- CHICAGO ----------
Becker, M.E. "A condition equivalent to uniform ergodicity" . Studia Mathematica 167, no. 3 (2005) : 215-218.http://dx.doi.org/10.4064/sm167-3-2
---------- MLA ----------
Becker, M.E. "A condition equivalent to uniform ergodicity" . Studia Mathematica, vol. 167, no. 3, 2005, pp. 215-218.http://dx.doi.org/10.4064/sm167-3-2
---------- VANCOUVER ----------
Becker, M.E. A condition equivalent to uniform ergodicity. Stud. Math. 2005;167(3):215-218.http://dx.doi.org/10.4064/sm167-3-2
