Inequalities between s-numbers
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913543896432640 |
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| author | Ullrich, Mario |
| author_facet | Ullrich, Mario |
| contents | Singular numbers of operators between Hilbert spaces were generalized to Banach spaces by s-numbers (in the sense of Pietsch). This allows for different choices, including approximation, Gelfand, Kolmogorov and Bernstein numbers. Here, we present an elementary proof of a bound between the smallest and the largest s-number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05509 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inequalities between s-numbers Ullrich, Mario Functional Analysis Operator Algebras 47B06, Secondary 46B50, 47B01 Singular numbers of operators between Hilbert spaces were generalized to Banach spaces by s-numbers (in the sense of Pietsch). This allows for different choices, including approximation, Gelfand, Kolmogorov and Bernstein numbers. Here, we present an elementary proof of a bound between the smallest and the largest s-number. |
| title | Inequalities between s-numbers |
| topic | Functional Analysis Operator Algebras 47B06, Secondary 46B50, 47B01 |
| url | https://arxiv.org/abs/2405.05509 |