01-1 | Berichtsreihe des Mathematischen Seminars der Universität Kiel | |
Dirk Praetorius:Remarks And Examples Concerning Distance EllipsoidsWe provide and examine examples of finite dimensional Banach spaces with non-unique distance ellipsoid. The main result is the construction of an n-dimensional Banach space E such that there are precisely k linearly independent contact points between the unit ball and the unique distance ellipsoid of E, where 2 <= k <= n is arbitrary. Further, the corresponding result is shown for spaces with non-unique distance ellipsoid.Mathematics Subject Classification (1991): 46B04, 46B20 Bibliographical note: Angenommen bei Colloquium Mathematicum Keywords: ellipsoids, John ellipsoid, Loewner ellipsoid, Banach-Mazur distance
|
Mail an Jens Burmeister |
[Thu Feb 19 18:56:35 2009] |
Impressum |