Commutators and Semi-Commutators of Toeplitz Operators on the Fock Space

Xing-Tang Dong ()
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Xing-Tang Dong: Tianjin University

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 1, 195-215

Abstract: Abstract In this paper we completely characterize when the commutator and semi-commutator of two monomial-type Toeplitz operators on the Fock space over ℂn have finite rank. In sharp contrast to Bergman space over the unit ball case, it turns out that there are many other cases on the Fock space for (semi-)commuting Toeplitz operators.

Keywords: Toeplitz operator; Fock space; quasi-homogeneous function; 47B35; 30H20 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0395-7

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