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Equipower Points of Unit Circle and Big Points in Minkowski Planes(PDF)

《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

Issue:
2013年05期
Page:
111-114
Research Field:
数理科学
Publishing date:

Info

Title:
Equipower Points of Unit Circle and Big Points in Minkowski Planes
Author(s):
JI Dong- hai GUO Wei SUN Gong- yu
College of Applied Sciences,Harbin University of Science and Technology
Keywords:
normed plane equipower point big point extreme point
PACS:
O177
DOI:
-
Abstract:
Abstract: In order to study whether equipower property can decide the global property of a space,the possible
region in which equipower points of the unit circle might exist is presented in a non- strictly convex normed plane via
geometric method. By applying known results concerning transitivity of the norm,it is proved that if the unit circle
of a Minkowski plane admits an equipower point other than the origin as well as a big point,then the space is a Hil-
bert space.

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Last Update: 2013-12-26