The Quasicentral Modulus Associated with a Class of Nonself-similar Fractals
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916641013497856 |
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| author | Glickfield, R. Alexander |
| author_facet | Glickfield, R. Alexander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01730 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Quasicentral Modulus Associated with a Class of Nonself-similar Fractals Glickfield, R. Alexander Functional Analysis 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. |
| title | The Quasicentral Modulus Associated with a Class of Nonself-similar Fractals |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2503.01730 |