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RECURRENCE FOR WEIGHTED TRANSLATIONS ON GROUPS

RECURRENCE FOR WEIGHTED TRANSLATIONS ON GROUPS
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摘要 Let G be a locally compact group, and let 1≤p〈∞. We characterize topolog- ically multiply recurrent weighted translation operators on LP(G) in terms of the Haax mea- sure and the weight function. We also show that there do not exist any recurrent weighted translation operators on L^∞ (G). Let G be a locally compact group, and let 1≤p〈∞. We characterize topolog- ically multiply recurrent weighted translation operators on LP(G) in terms of the Haax mea- sure and the weight function. We also show that there do not exist any recurrent weighted translation operators on L^∞ (G).
作者 陈中川
出处 《Acta Mathematica Scientia》 SCIE CSCD 2016年第2期443-452,共10页 数学物理学报(B辑英文版)
基金 supported by MOST of Taiwan(MOST104-2115-M-142-002-)
关键词 Topologically multiple recurrence RECURRENCE HYPERCYCLICITY locally compactgroup L^P-space Topologically multiple recurrence recurrence hypercyclicity locally compactgroup L^P-space
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参考文献15

  • 1Chen C C. Chaotic weighted translations on groups. Arch Math, 2011, 97:61-68.
  • 2Chen C C. Supercyclic and Cesaro hypercyclic weighted translations on groups. Talwanese J Math, 2012, 16:1815-1827.
  • 3Chen C C. Hypercyclic weighted translations generated by non-torsion elements. Arch Math, 2013, 101: 135-141.
  • 4Chen C C, Chu C H. Hypercyclic weighted translations on groups. Proc Amer Math Soc, 2011, 139: 2839-2846.
  • 5Costakis G, Sambarino M. Topologically mixing hypercyclic operators. Proc Amer Math Soc, 2004, 132: 385-389.
  • 6Grosse-Erdmann K G. Hypercyclie and chaotic weighted shifts. Studia Math, 2000, 139:47-68.
  • 7Leon-Saavedra F. Operators with hypercyclic Cesaro means. Studia Math, 2002, 152:201-215.
  • 8Salas H. Hypercyclic weighted shifts. Trans Amer Math Soc, 1995, 347:993-1004.
  • 9Costakis G, Manoussos A, Parissis I. Recurrent linear operators. Complex Anal Oper Th, 2014, 8: 1601- 1643.
  • 10Costakis G, Parissis I. Szemeredi's theorem, frequent hypercyclicity and multiple recurrence. Math Scand, 2012, 110:251-272.

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