【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。更多还原

【Abstract】 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.更多还原