Banach空间的广义填球问题  

The General Packing Problem in Banach Spaces

作　　者：田广悦[1] 王俊明[1] 

机构地区：[1]哈尔滨理工大学

出　　处：《黑龙江大学自然科学学报》1996年第2期28-31,共4页Journal of Natural Science of Heilongjiang University

摘　　要：本文Ｂａｎａｃｈ空间的填球问题出发，探讨了半径为Ｒ球的填球常数，进一步给出了Ｂａｎａｃｈ空间广义填球的定义，讨论了广义填球问题的一些性质及与非紧性测度的关系，最后给出了广义填球在局部几乎一致光滑方面的应用。In this paper, first, for the general packing problem in Banach spaces,packing constant of a ball with radius R is approached, second, the definition of the general packing in Banach spaces in given; third, some. properties in the general packing problem in Banach spaces and the relation between the general packing con.vtant and noncompact measure are discussed; at last, the application on local almost uniformly smooth for general packing is given.

关 键 词：广义填球 广义填球常数 巴拿赫空间 

分 类 号：O177.2[理学—数学]