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- Title
Gaussian Approximation Numbers and Metric Entropy.
- Authors
Kühn, T.; Linde, W.
- Abstract
The aim of this paper is to survey properties of Gaussian approximation numbers. We state the basic relations between these numbers and other s-numbers as, e.g., entropy, approximation, or Kolmogorov numbers. Furthermore, we fill a gap and prove new two-sided estimates in the case of operators with values in a K-convex Banach space. In the final section, we apply relations between Gaussian and other s-numbers to the d-dimensional integration operator defined on L2[0, 1]d.
- Subjects
ENTROPY (Information theory); BANACH spaces; TOPOLOGICAL entropy; CONVEX bodies; ESTIMATES
- Publication
Journal of Mathematical Sciences, 2019, Vol 238, Issue 4, p471
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-019-04251-8