The Laplacian of an operator and the radial Toeplitz algebra

2024/09/30 by Vishwa Dewage, Dewage, Vishwa, Mishko Mitkovski +1
Mathematics · #30H20 #47B35 (primary) 22D25 #47L80 (Secondary) #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2410.00080

openalex publication_date 2024/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using tools from quantum harmonic analysis, we show that the domain of the Laplacian of an operator is dense in the Toeplitz algebra over the Fock space F²(ℂⁿ). As an application, we provide a simplified treatment of the Gelfand theory of the radial Toeplitz algebra.

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