Zero Product of Three Two Level Toeplitz Operators

Matthew Kim, Brian Shon, Albert Cho, Eric Cho, Tedd Jung and Omer Mujawar

Journal of Mathematics Research, 2019, vol. 11, issue 2, 39-43

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.

Keywords: Toeplitz operators; Hardy space; bidisk; bi-level Toeplitz matrices (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:11:y:2019:i:2:p:39

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