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arXiv · 2405.05509

Inequalities between s-numbers

Mario Ullrich
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Abstract

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.

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Mario Ullrich. 2024-05-09. Inequalities between s-numbers. https://doi.org/10.1007/s43036-024-00386-x

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