复线性空间上凸函数的支撑泛函  

Complex Support Functionals for Convex Functions

作　　者：陈少白[1] 王文义[2] 毛宗源[1] 

机构地区：[1]华南理工大学自动化科学与工程学院 [2]武汉船舶职业技术学院电子电气工程系,湖北武汉430050

出　　处：《武汉科技大学学报》2005年第3期315-318,共4页Journal of Wuhan University of Science and Technology

摘　　要：采用子空间中支撑泛函延拓的方法,构造出在复线性空间任意点上的复支撑泛函;确定在同一支撑点上复支撑泛函的数值域,从而得到复支撑泛函具有唯一性的充分必要条件。This paper investigates the existence of complex support functional of a convex function in complex linear spaces and the complex numerical ranges of the complex support functionals on a point. Complex support functionals with function extension are constructed and the complex numerical ranges of all complex support functionals on a support point are established. And a necessary and sufficient condition ensuring that the complex support functional on a support point is unique has been presented.

关 键 词：凸函数 复支撑泛函 复数值域 

分 类 号：O177.91[理学—数学]