20 citations · 51 across the 12 of their papers we have counts for
4 papers · 1 filter
On bounds between all s-numbers and widths of convex sets
Mario Ullrich
We prove for every s-number sequence , every bounded linear operator between normed spaces, and every , where ar…
Sampling and entropy numbers in the uniform norm
Mario Ullrich
We prove a sharp bound between sampling numbers and entropy numbers in the uniform norm for bounded convex sets of bounded functions.
Inequalities between s-numbers
Mario Ullrich
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 approxim…
Sampling projections in the uniform norm
David Krieg, Kateryna Pozharska, Mario Ullrich +1
We show that there are sampling projections on arbitrary -dimensional subspaces of with at most samples and norm of order , where is the space of co…