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arXiv · 2503.01730

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

R. Alexander Glickfield
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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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R. Alexander Glickfield. 2025-03-03. The Quasicentral Modulus Associated with a Class of Nonself-similar Fractals. https://arxiv.org/abs/2503.01730

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