Email this article Gaussian Approximation Numbers and Metric Entropy
- Authors: Kühn T.1, Linde W.2
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Affiliations:
- Universität Leipzig
- University of Delaware
- Issue: Vol 238, No 4 (2019)
- Pages: 471-483
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242546
- DOI: https://doi.org/10.1007/s10958-019-04251-8
- ID: 242546
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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.
About the authors
T. Kühn
Universität Leipzig
Author for correspondence.
Email: kuehn@math.uni-leipzig.de
Germany, Leipzig
W. Linde
University of Delaware
Email: kuehn@math.uni-leipzig.de
United States, Newark, DE
