机构地区: 中山大学数学与计算科学学院数学系
出 处: 《中山大学学报(自然科学版)》 2005年第6期1-4,共4页
摘 要:
将中点局部一致凸性推广到中点局部K一致凸,并且讨论了它们之间的关系。主要研究的问题为:假定X、Y都具有中点局部一致凸性或中点局部K一致凸性,那么X pY(1
Midpoint locally uniform convexity is generalized to the midpoint locally K-uniform convexity, and the relation between the two cases is discussed. The following problem is discussed: suppose X, Y are either midpoint locally uniform convexity or midpoint locally K-uniform convexity, respectively, whether X+pY (1 〈 p 〈 ∞ ) or φ- direct sum X+φY is still either midpoint locally K-uniform convexity or midpoint locally uniform convexity.