About composition of Toeplitz operators in Segal-Bargmann Space
Romina Ramirez, Marcela Sanmartino
TL;DR
This paper investigates the composition properties of Toeplitz operators in the Segal-Bargmann space, highlighting specific cases where associated operators cannot be constructed from certain symbols.
Contribution
It provides new positive results on Toeplitz operator composition and identifies a Wick symbol that cannot produce an associated Toeplitz operator.
Findings
Positive results on Toeplitz composition in Segal-Bargmann space
Identification of a Wick symbol without an associated Toeplitz operator
Insights into limitations of Toeplitz operator construction
Abstract
Some positive results about the composition of Toeplitz operators on the Segal-Bargmann space are presented. A Wick symbol where it is not possible to construct its associated Toeplitz operator is given.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Mathematical Analysis and Transform Methods