Inequalities between s-numbers

Published 9 May 2024 in math.FA and math.OA | (2405.05509v2)

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

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