赋p-Amemiya范数的Musielak-Orlicz序列空间的复凸性  

Complex Convexity of Musielak-Orlicz Sequence Spaces Equipped with the p-Amemiya Norm

作　　者：陈丽丽[1] 崔云安[1] 赵岩峰[1] 牛金玲[1] 

机构地区：[1]哈尔滨理工大学应用数学系,哈尔滨150080

出　　处：《数学学报（中文版）》2015年第1期169-176,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11401141);黑龙江省青年科学基金(QC2013C001);省教育厅科技面上项目(12531099)

摘　　要：讨论了赋p-Amemiya范数的Musielak-Orlicz序列空间的复凸性问题.当1≤p<∞时,得到该空间中单位球的复端点和复强端点是等价的,并给出了它们的充要判据,进一步得到该空间是复严格凸和复中点局部一致凸的判别准则.We mainly discuss the complex convexity of Musielak-Orlicz sequence spaces equipped with the p-Amemiya norm.It is obtained that for any MusielakOrlicz sequence space equipped with the p-Amemiya norm when 1 ≤ p < ∞,complex strongly extreme points of the unit ball coincide with complex extreme points of the unit ball.Moreover,criteria for them in above spaces are given.Criteria for complex rotundity and complex mid-point locally uniform convexity of above spaces are also deduced.

关 键 词：MUSIELAK-ORLICZ序列空间 复端点 复凸性 

分 类 号：O177[理学—数学]