J4 ›› 2009, Vol. 47 ›› Issue (05): 948-950.

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Existence of Distributional Chaos in Nest Algebras

 LI Ying, TIAN Geng, TUN Fei, HOU Bing-Zhe   

  1. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2009-01-08 Online:2009-09-26 Published:2009-11-03
  • Contact: HOU Bing-Zhe E-mail:houbz@jlu.edu.cn.

Abstract:

The authors used methods of dynamical systems to study the structure of nest algebras, proving the existence of the distributional chaos in a class of nest algebras.

Key words: Hilbert space, operator, distributional chaos, nest algebra, immediate predecessor

CLC Number: 

  • O177.1