Zero Product of Three Two Level Toeplitz Operators


  •  Matthew Kim    
  •  Brian Shon    
  •  Albert Cho    
  •  Eric Cho    
  •  Tedd Jung    
  •  Omer Mujawar    

Abstract

In this paper we investigate conditions for T_f1 T_f2 T_f3 - T_f1f2f3 = 0 where T_f1 , T_f2 , and T_f3 are bi-level Toeplitz operators on the Hardy space of bidisk and f_1; f_2; f_3 are bounded and measurable complex valued functions on bidisk. We also provide that T_f1 T_f2 T_f3 identical to zero matrix if and only if at least one of f_i is identically zero for 1 ≤i ≤3.


This work is licensed under a Creative Commons Attribution 4.0 License.
  • Issn(Print): 1916-9795
  • Issn(Onlne): 1916-9809
  • Started: 2009
  • Frequency: bimonthly

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