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A note on mean ergodic composition operators on spaces of holomorphic functions

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A note on mean ergodic composition operators on spaces of holomorphic functions

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Bonet Solves, JA.; Domanski, P. (2011). A note on mean ergodic composition operators on spaces of holomorphic functions. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 105(2):389-396. https://doi.org/10.1007/s13398-011-0009-7

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Título: A note on mean ergodic composition operators on spaces of holomorphic functions
Autor: Bonet Solves, José Antonio Domanski, Pawel
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
We characterize those composition operators defined on spaces of holomorphic functions of several variables which are power bounded, i.e. the orbits of all the elements are bounded. This condition is equivalent to the ...[+]
Palabras clave: Composition operators , Mean ergodic operators , Power bounded operators , Spaces of holomorphic functions
Derechos de uso: Reconocimiento - No comercial (by-nc)
Fuente:
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. (issn: 1578-7303 )
DOI: 10.1007/s13398-011-0009-7
Editorial:
Springer Verlag (Germany)
Versión del editor: http://link.springer.com/article/10.1007/s13398-011-0009-7
Código del Proyecto:
info:eu-repo/grantAgreement/MEC//MTM2007-62643/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS COMPLEJO Y LAS ECUACIONES EN DERIVADAS PARCIALES/ /
info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/
info:eu-repo/grantAgreement/MNiSW//NN201 2740 33/
info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/
Agradecimientos:
The research of Bonet was partially supported by MEC and FEDER Projects MTM2007-62643 and MTM2010-15200 and by GV Project Prometeo/2008/101. The research of Domanski was supported in years 2007-2010 by Ministry of Science ...[+]
Tipo: Artículo

References

Abate M.: Iteration Theory of Holomorphic Maps on Taut Manifolds. Mediterranean Press, Commenda di Rende (1989)

Albanese, A.A., Bonet, J., Ricker, W.J.: On mean ergodic operators. In: Curbera, G.P. et al. (eds.) Vector Measures, Integration and Related Topics, vol. 201, pp. 1–20. Operator Theory: Advances and Applications. Birkhäuser Verlag, Basel (2009)

Albanese A.A., Bonet J., Ricker W.J.: Mean ergodic operators in Fréchet spaces. Anal. Acad. Sci. Fenn. Math. 34, 401–436 (2009) [+]
Abate M.: Iteration Theory of Holomorphic Maps on Taut Manifolds. Mediterranean Press, Commenda di Rende (1989)

Albanese, A.A., Bonet, J., Ricker, W.J.: On mean ergodic operators. In: Curbera, G.P. et al. (eds.) Vector Measures, Integration and Related Topics, vol. 201, pp. 1–20. Operator Theory: Advances and Applications. Birkhäuser Verlag, Basel (2009)

Albanese A.A., Bonet J., Ricker W.J.: Mean ergodic operators in Fréchet spaces. Anal. Acad. Sci. Fenn. Math. 34, 401–436 (2009)

Bayart, F., Matheron, E.: Dynamics of linear operators. In: Cambridge Tracts in Mathematics, vol. 179. Cambridge University Press, Cambridge (2009)

Bernal-González L., Montes-Rodríguez A.: Universal functions for composition operators. Complex Var. 27, 47–56 (1995)

Bernal-González L.: Universal entire functions for affine endomorphisms of $${\mathbb{C}^{\mathbb{N}}}$$ . J. Math. Anal. Appl. 305, 690–697 (2005)

Bonet, J., Domański, P.: Power bounded composition operators on spaces of analytic functions. Collect. Math. doi: 10.1007/s13348-010-0005-9 (2010)

Cowen, C.C., MacCluer, B.D.: Composition operators on spaces of analytic functions. In: Studies in Advanced Mathematics. CRC Press, Boca Raton (1995)

Fonf V.P., Lin M., Wojtaszczyk P.: Ergodic characterizations of reflexivity in Banach spaces. J. Funct. Anal. 187, 146–162 (2001)

Grosse-Erdmann K.G.: Universal families and hypercyclic operators. Bull. Am. Math. Soc. 36, 345–381 (2001)

Grosse-Erdmann K.G.: Recent developments in hypercyclicity. Rev. R. Acad. Cien. Ser. A Math. 97, 273–286 (2003)

Grosse-Erdmann K.G., Mortini R.: Universal functions for composition operators with non-automorphic symbol. J. Anal. Math. 107, 355–376 (2009)

Grosse-Erdmann K.G, Peris A.: Linear Chaos. Springer, Berlin (2011)

Gunning R.C.: Introduction to Holomorphic Functions of Several Variables. Wadsworth & Brooks, Belmont (1990)

Hörmander L.: An Introduction to Complex Analysis in Several Variables, 3rd edn. North-Holland, Amsterdam (1990)

Kobayashi S.: Hyperbolic Complex Spaces. Springer, Berlin (1998)

Krengel U.: Ergodic Theorems. de Gruyter, Berlin (1985)

Meise R., Vogt D.: Introduction to Functional Analysis. Clarendon Press, Oxford (1997)

Milnor J.: Dynamics in One Complex Variable. Vieweg Verlag, Wiesbaden (2000)

Shapiro, J.H.: Composition operators and classical function theory. In: Universitext: Tracts in Mathematics. Springer, New York (1993)

Shapiro, J.H.: Notes on the Dynamics of Linear Operators. Lecture notes. http://www.math.msu.edu/~shapiro/Pubvit/Downloads/LinDynamics/lindynamics.pdf (1993)

Yosida K.: Functional Analysis. Springer, Berlin (2001)

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