论法式超平面及有界集的直径与宏围墙

摘要

建立了赋范空间法式超平面、有界集的围墙与宏围墙概念.讨论了它们与直径的密切关系，找到了宏围墙的特征条件.作出一个有界闭集奇例，它存在直径望点，但不存在一条直径，或者是直径望点都不存在，从而提供研究远距问题的基础.%The concepts of hyperplanes and widest bounding walls (w.b.w.) ofbound stes are built. Their relations with diameters are discussed. Some characteristic conditions of w.b.w. are found. A bounded closed set is contructed which exists a diametral point but no diameters or none of them. We can use those to study the problem of farthest points to a bounded set.