Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (1): 173-178.

• Articles • Previous Articles     Next Articles

The Strong Irreducibility of Toeplitz Operators up to Similarity

 LAN Wen-Hua   

  1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016
  • Received:2008-05-10 Revised:2009-08-05 Online:2011-02-25 Published:2011-02-25
  • Supported by:

    国家自然科学基金(10571042)、河北省自然科学基金(A2010000351)、河北省教育厅重点基金(ZD200904)及河北师范大学博士基金(130144)资助

Abstract:

In this paper, the author studies the strong irreducibility of analytic Toeplitz operators with two Blaschke factors up to similarity on Hardy space, then the relationship between  the winding number of the Blaschke factors and Toeplitz operators induced by Blaschke factors is discussed.

Key words: Hardy space, Analytic Toeplitz operators, Strong irreducibility,  Winding number

CLC Number: 

  • 46J40
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