Vol. 35, No. 3, 1970

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Characterization of the Steiner point

Walter J. Meyer

Vol. 35 (1970), No. 3, 717–725
Abstract

Let f be a mapping which associates with each compact convex set in En a point of En. If f is linear (in terms of the vector addition of convex sets), uniformly continuous and commutes with a substantial enough set of congruences of En, then f(K) is the Steiner point of K for all compact convex sets K.

Mathematical Subject Classification
Primary: 52.30
Milestones
Received: 20 October 1969
Published: 1 December 1970
Authors
Walter J. Meyer