Disjoint Hypercyclicity and Weighted Translations on Discrete Groups

• Autores: Chung-Chuan Chen
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 60, Nº 4, 2017, págs. 712-720
• Idioma: inglés
• DOI: 10.4153/cmb-2016-075-9
• Texto completo no disponible (Saber más ...)
• Referencias bibliográficas
  • F. Bayart and É. Matheron, Dynamics of linear operators. Cambridge Tracts in Mathematics, 179, Cambridge University Press, Cambridge, 2009.
  • L. Bernal-González, Disjoint hypercyclic operators. Studia Math. 182 (2007), no. 2, 113–131.
  • J. Bès and Ó. Martín, Composition disjoint hypercyclicity equals disjoint supercyclicity. Houston J. Math. 38 (2012), no. 4, 1149–1163.
  • J. Bès, Ó. Martín, and A. Peris, Disjoint hypercyclic linear fractional composition operators. J. Math. Anal. Appl. 381 (2011), no. 2, 843–856.
  • J. Bès, Ó. Martín, A. Peris, and S. Shkarin, Disjoint mixing operators. J. Funct. Anal. 263 (2012), no. 5, 1283–1322.
  • J. Bès, Ó. Martín, and R. Sanders, Weighted shifts and disjoint hypercyclicity. J. Operator Theory 72 (2014), no. 1, 15–40.
  • J. Bès and A. Peris, Disjointness in hypercyclicity. J. Math. Anal. Appl. 336 (2007), no. 1, 297–315.
  • C.-C. Chen, Chaotic weighted translations on groups. Arch. Math. 97 (2011), no. 1, 61–68.
  • C.-C. Chen, Supercyclic and Cesàro hypercyclic weighted translations on groups. Taiwanese J. Math. 16 (2012), no. 5, 1815–1827.
  • C.-C. Chen, Hypercyclic weighted translations generated by non-torsion elements. Arch. Math. 101 (2013), no. 2, 135–141.
  • C.-C. Chen and C.-H. Chu, Hypercyclicity of weighted convolution operators on homogeneous spaces. Proc. Amer. Math. Soc. 137 (2009), no. 8,...
  • C.-C. Chen, Hypercyclic weighted translations on groups. Proc. Amer. Math. Soc. 139 (2011), no. 8, 2839–2846.
  • G. Costakis and M. Sambarino, Topologically mixing hypercyclic operators. Proc. Amer. Math. Soc. 132 (2004), no. 2, 385–389.
  • K.-G. Grosse-Erdmann, Hypercyclic and chaotic weighted shifts. Studia Math. 139 (2000), no. 1, 47–68.
  • K.-G. Grosse-Erdmann and A. Peris, Linear chaos. Universitext, Springer, London, 2011.
  • S.-A. Han and Y.-X. Liang, Disjoint hypercyclic weighted translations generated by aperiodic elements. Collect. Math. 67 (2016), no. 3, 347–356.
  • F. León-Saavedra, Operators with hypercyclic Cesàro means. Studia Math. 152 (2002), no. 3, 201–215.
  • Ö. Martin, Disjoint hypercyclic and supercyclic composition operators. PhD thesis, Bowling Green State University, 2010.
  • S. Rolewicz, On orbits of elements. Studia Math. 32 (1969), 17–22.
  • H. Salas, A hypercyclic operator whose adjoint is also hypercyclic. Proc. Amer. Math. Soc. 112 (1991), no. 3, 765–770.
  • H. Salas, Hypercyclic weighted shifts. Trans. Amer. Math. Soc. 347 (1995), no. 3, 993–1004.
  • H. Salas, Dual disjoint hypercyclic operators. J. Math. Anal. Appl. 374 (2011), 106–117.
  • H. Salas, The strong disjoint blow-up/collapse property. J. Funct. Spaces Appl. 2013, Art. ID 146517, 6 pp.
  • S. Shkarin, A short proof of existence of disjoint hypercyclic operators. J. Math. Anal. Appl. 367 (2010), no. 2, 713–715.
  • S. Shkarin and R. Sanders, Existence of disjoint weakly mixing operators that fail to satisfy the disjoint hypercyclicity criterion. J. Math....