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Zeitschriftenartikel:

D. Praetorius:
"Remarks and Examples Concerning Distance Ellipsoids";
Colloquium Mathematicum, 93 (2002), S. 41 - 53.



Kurzfassung englisch:
We provide for every 2<=k<=n an n-dimensional Banach space E with a
unique distance ellipsoid ε such that there are precisely k
linearly independent contact points between ε and BE. The
corresponding result holds for spaces with non-unique distance
ellipsoids as well. We construct n-dimensional Banach spaces E such
that one distance ellipsoid has precisely k linearly independent
contact points and all other distance ellipsoids have less than k-1
such points.


Elektronische Version der Publikation:
http://www.anum.tuwien.ac.at/~dirk/download/preprint/ellipsoid.pdf


Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.