University of Passau

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20002026

most citedUsing Bad Learners to find Good Configurations

123 citations

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11 papers · 1 filter

math.FA2024★ 3 cited

Entropy numbers of finite-dimensional Lorentz space embeddings

Joscha Prochno, Mathias Sonnleitner, Jan Vybíral

The sequence of entropy numbers quantifies the degree of compactness of a linear operator acting between quasi-Banach spaces. We determine the asymptotic behavior of entropy number…

math.FA2024★ 8 cited

Sampling projections in the uniform norm

David Krieg, Kateryna Pozharska, Mario Ullrich +1

We show that there are sampling projections on arbitrary $n$ -dimensional subspaces of $B (D)$ with at most $2 n$ samples and norm of order $n$ , where $B (D)$ is the space of co…

math.FA2021★ 7 cited

Stability of (eventually) positive semigroups on spaces of continuous functions

Sahiba Arora, Jochen Glück

We present a new and very short proof of the fact that, for positive $C_{0}$ -semigroups on spaces of continuous functions, the spectral and the growth bound coincide. Our argument, i…

math.FA2021★ 2 cited

Random sections of $ℓ_{p}$ -ellipsoids, optimal recovery and Gelfand numbers of diagonal operators

Aicke Hinrichs, Joscha Prochno, Mathias Sonnleitner

We study the circumradius of a random section of an $ℓ_{p}$ -ellipsoid, $0 < p \leq \infty$ , and compare it with the minimal circumradius over all sections with subspaces of the same c…

math.FA2021★ 6 cited

Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings

Joscha Prochno, Michał Strzelecki

Let $0 < p, q \leq \infty$ and denote by $S_{p}^{N}$ and $S_{q}^{N}$ the corresponding Schatten classes of real $N \times N$ matrices. We study approximation quantities of nat…

math.FA2020★ 10 cited

Spectrum and convergence of eventually positive operator semigroups