| Issue |
ITM Web Conf.
Volume 45, 2022
2021 3rd International Conference on Computer Science Communication and Network Security (CSCNS2021)
|
|
|---|---|---|
| Article Number | 01059 | |
| Number of page(s) | 7 | |
| Section | Computer Technology and System Design | |
| DOI | https://doi.org/10.1051/itmconf/20224501059 | |
| Published online | 19 May 2022 | |
Existence of Gauss John ellipsoid operator problem
College of Science, Wuhan University of Science and Technology, Wuhan, Hubei, 430065, China
* Corresponding author: wangwenbo@wust.edu.cn
There is a common example in convex geometry and Banach space geometry: the unique ellipsoid with the largest volume associated with each symmetric convex body K is called John ellipsoid. In this paper, we will give some results of John ellipsoid operator problem with Gaussian measure, mainly the continuity of Gaussian measure and the existence of ellipsoid operator.
Key words: Convex geometry / Symmetric convex body / John ellipsoid / Gaussian measure
© The Authors, published by EDP Sciences, 2022
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