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Zero Product of Three Two Level Toeplitz Operators

Author

Listed:
  • 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.

Suggested Citation

  • Matthew Kim & Brian Shon & Albert Cho & Eric Cho & Tedd Jung & Omer Mujawar, 2019. "Zero Product of Three Two Level Toeplitz Operators," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(2), pages 39-43, April.
    • Handle: RePEc:ibn:jmrjnl:v:11:y:2019:i:2:p:39
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    More about this item

    Keywords

    Toeplitz operators; Hardy space; bidisk; bi-level Toeplitz matrices;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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