Commutants of Toeplitz operators with monomial symbols
Akaki Tikaradze
TL;DR
This paper characterizes the commutant of monomial multiplication operators within the Toeplitz algebra on certain complex domains, advancing understanding of operator algebra structures in complex analysis.
Contribution
It provides a description of the commutant of Toeplitz operators with monomial symbols on strongly pseudoconvex Reinhardt domains, a novel result in operator theory.
Findings
Explicit description of the commutant for monomial Toeplitz operators
Extension of known results to strongly pseudoconvex Reinhardt domains
Enhanced understanding of Toeplitz algebra structures
Abstract
In this note we describe the commutant of the multiplication operator by a monomial in the Toeplitz algebra of a complete strongly pseudoconvex Reinhardt domain.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Advanced Operator Algebra Research