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arXiv:2405.05509 [math.FA]AbstractReferencesReviewsResources

Inequalities between s-numbers

Mario Ullrich

Published 2024-05-09, updated 2024-10-14Version 2

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.

Comments: 6 pages
Journal: Advances in Operator Theory 9:82 (2024)
Categories: math.FA, math.OA
Subjects: 47B06, 46B50, 47B01
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