The Quasicentral Modulus Associated with a Class of Nonself-similar Fractals

2025/03/03 by R. Alexander Glickfield, Glickfield, R. Alexander
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2503.01730

openalex publication_date 2025/03/03 · openalex created_date 2025/10/12 · openalex updated_date 2026/07/28

Abstract

We discuss an extension to Voiculescu's formula for the quasicentral modulus of a tuple of commuting, self-adjoint operators with spectral measure absolutely continuous with respect to a generalized Hausdorff measure. These Hausdorff measures are defined by gauge functions which are not power functions and are supported on nonself-similar fractals.

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