American Journal of Mathematics and Statistics

American Journal of Mathematics and Statistics is to publish well-written original research articles and studies describing the latest research and developments in the field of mathematics and statistics. This is a broad-based journal covering all branches of mathematics, statistics and interdisciplinary research.

Alfonso Montes-Rodriguez

Editor-in-Chief of American Journal of Mathematics and Statistics

Professor, Universidad De Sevilla, Spain

Research Areas

Mathematics, Mathematical Analysis


1994Ph.DUniversity of Seville
1989M.ScUniversity of Seville


1989-presentWorking as a Full Professor in University of Seville

Publications: Conferences/Workshops/Symposiums/Journals/Books

[1]  Hedenmalm, Hakan, Montes-Rodríguez, Alfonso, Heisenberg Uniqueness Pairs and the Klein Gordon Equation, Annals of Mathematics, 173, no. 3 1507-1527.
[2]  Montes-Rodríguez, Alfonso; Ponce-Escudero, Manuel; Shkarin, Stanislav A. Invariant subspaces of parabolic self-maps in the Hardy space. Math. Res. Lett. 17 (2010), no. 1, 99–107.
[3]  Montes-Rodríguez, Alfonso; Rodríguez-Martínez, Alejandro; Shkarin, Stanislav Spectral theory of Volterra-composition operators. Math. Z. 261 (2009), no. 2, 431–472.
[4]  Bermudo, Sergio; Montes-Rodríguez, Alfonso; Shkarin, Stanislav Orbits of operators commuting with the Volterra operator. J. Math. Pures Appl. (9) 89 (2008), no. 2, 145–173.
[5]  Montes-Rodríguez, Alfonso; Shkarin, Stanislav A. Non-weakly supercyclic operators. J. Operator Theory 58 (2007), no. 1, 39–62.
[6]  Duren, Peter; Gallardo-Gutiérrez, Eva A.; Montes-Rodríguez, Alfonso A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces. Bull. Lond. Math. Soc. 39 (2007), no. 3, 459–466.
[7]  Proceedings of the First Advanced Course in Operator Theory and Complex Analysis. Held at the University of Seville, Seville, June 2004. Edited by Alfonso Montes Rodríguez. Universidad de Sevilla. Secretariado de Publicaciones, Seville, 2006. xvi+154 pp. ISBN: 84-472-1024-3.
[8]  Montes-Rodríguez, Alfonso; Shkarin, Stanislav A. New results on a classical operator. Recent advances in operator-related function theory, 139–157, Contemp. Math., 393, Amer. Math. Soc., Providence, RI, 2006, 47B38 (47A10 47A16 47G10)
[9]  Montes-Rodríguez, Alfonso; Sánchez-álvarez, Juan; Zemánek, Jaroslav Uniform Abel-Kreiss boundedness and the extremal behaviour of the Volterra operator. Proc. London Math. Soc. (3) 91 (2005), no. 3, 761–788.
[10]  Gallardo-Gutiérrez, Eva A.; Montes-Rodríguez, Alfonso The Volterra operator is not supercyclic. Integral Equations Operator Theory 50 (2004), no. 2, 211–216.
[11]  Gallardo-Gutiérrez, Eva A.; Montes-Rodríguez, Alfonso The role of the spectrum in the cyclic behavior of composition operators. Mem. Amer. Math. Soc. 167 (2004), no. 791, x+81 pp.
[12]  Gallardo-Gutiérrez, Eva A.; Montes-Rodríguez, Alfonso Adjoints of linear fractional composition operators on the Dirichlet space. Math. Ann. 327 (2003), no. 1, 117–134.
[13]  Montes-Rodríguez, Alfonso; Salas, Héctor N. Supercyclic subspaces. Bull. London Math. Soc. 35 (2003), no. 6, 721–737.
[14]  Gallardo-Gutiérrez, Eva A.; Montes-Rodríguez, Alfonso The role of the angle in supercyclic behavior. J. Funct. Anal. 203 (2003), no. 1, 27–43.
[15]  Montes-Rodríguez, Alfonso; Romero-Moreno, M. Carmen Supercyclicity in the operator algebra. Studia Math. 150 (2002), no. 3, 201–213.
[16]  Montes-Rodríguez, Alfonso; Salas, Héctor N. Supercyclic subspaces: spectral theory and weighted shifts. Adv. Math. 163 (2001), no. 1, 74–134.
[17]  Gallardo-Gutiérrez, E. A.; Montes-Rodríguez, A. Cyclic behavior of linear fractional composition operators. Extracta Math. 16 (2001), no. 1, 147–152.
[18]  Montes-Rodríguez, Alfonso Spectral theory and hypercyclic subspaces. Trans. Amer. Math. Soc. 353 (2001), no. 1, 247–267.
[19]  Montes-Rodríguez, Alfonso Weighted composition operators on weighted Banach spaces of analytic functions. J. London Math. Soc. (2) 61 (2000), no. 3, 872–884.
[20]  González, Manuel; León-Saavedra, Fernando; Montes-Rodríguez, Alfonso Semi-Fredholm theory: hypercyclic and supercyclic subspaces. Proc. London Math. Soc. (3) 81 (2000), no. 1, 169–189.
[21]  Montes-Rodríguez, Alfonso The essential norm of a composition operator on Bloch spaces. Pacific J. Math. 188 (1999), no. 2, 339–351.
[22]  Montes-Rodríguez, Alfonso The Pick-Schwarz lemma and composition operators on Bloch spaces. International Workshop on Operator Theory (Cefalù, 1997). Rend. Circ. Mat. Palermo (2) Suppl. 1998, no. 56, 167–170.
[23]  Montes-Rodríguez, Alfonso A Birkhoff theorem for Riemann surfaces. Rocky Mountain J. Math. 28 (1998), no. 2, 663–693.
[24]  Montes-Rodríguez, Alfonso Composition operators and hypercyclic vectors. Studies on composition operators (Laramie, WY, 1996), 157–165, Contemp. Math., 213, Amer. Math. Soc., Providence, RI, 1998.
[25]  Montes-Rodríguez, Alfonso Vector spaces of universal functions. Complex methods in approximation theory (Almería, 1995), 113–116, Monogr. Cienc. Tecnol., 2, Univ. Almería, Almería, 1997,
[26]  León-Saavedra, Fernando; Montes-Rodríguez, Alfonso Linear structure of hypercyclic vectors. J. Funct. Anal. 148 (1997), no. 2, 524–545.
[27]  Montes-Rodríguez, Alfonso Banach spaces of hypercyclic vectors. Michigan Math. J. 43 (1996), no. 3, 419–436.
[28]  Montes-Rodríguez, Alfonso A note on Birkhoff open sets. Complex Variables Theory Appl. 30 (1996), no. 3, 193–198.
[29]  González, Luis Bernal; Rodríguez, Alfonso Montes Non-finite-dimensional closed vector spaces of universal functions for composition operators. J. Approx. Theory 82 (1995), no. 3, 375–391.
[30]  Bernal González, Luis; Montes-Rodríguez, Alfonso Universal functions for composition operators. Complex Variables Theory Appl. 27 (1995), no. 1, 47–56.