Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (3): 446-453.

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On the Invariance of Maximal Distributional Chaos of Weighted Shift Operators on ∑(X)

Wang Jianjun   

  1. School of Sciences, Sichuan Agricultural University, Sichuan Ya'an 625014
  • Received:2017-03-31 Revised:2017-10-13 Online:2018-06-26 Published:2018-06-26
  • Supported by:
    Supported by the Scientific Research Fund of Sichuan Provincial Education Department (14ZB0007)

Abstract: This paper proves that the weighted shift operator Bw on an normed linear space ∑(X) admits an invariant distributionally ε-scrambled set for any 0 < ε < 2, improving the main results of[27, 32].

Key words: Weighted shift operator, Wistributional ε-chaos, Distributionally scrambled set

CLC Number: 

  • O415.5
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