Inequalities between s-numbers
Functional Analysis
2024-10-15 v2 Operator Algebras
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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Cite
@article{arxiv.2405.05509,
title = {Inequalities between s-numbers},
author = {Mario Ullrich},
journal= {arXiv preprint arXiv:2405.05509},
year = {2024}
}
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6 pages