Existence of Gauss John ellipsoid operator problem

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 co...

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Veröffentlicht in:ITM web of conferences 2022, Vol.45, p.1059
Hauptverfasser: Yu, Li’ao, Zou, Du
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2271-2097
2431-7578
2271-2097
DOI:10.1051/itmconf/20224501059