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《Journal of Qufu Normal University(Natural Science)》 1991-01
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A Characteristic on Infinite Dimensional Hibert Space

Zhu Jun  
In this paper, we prove a conclusion as follow: The necessary and sufficient condition that Hibert space is infinite dimension is that it exists nonempty convex closed set B without inner point sothat B is not on any hyperplane.
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1 BAI Sui-ping, ZHANG Shu-bin, YAO Li (School of Mathematics and Statistics, Hebei Economy and Trade University, Shijiazhuang 050061, China);Non-vacuous Closed Convex Set in Banach Space[J];Mathematics In Practice and Theory;2004-06
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