摘要
讨论了复赋范线性空间上的共轭线性算子,以及这类算子的连续性、有界性与范数,得到了连续共轭线性算子空间CCL(X,Y)与连续线性算子空间B(X,Y)之间的关系;引入并研究了复赋范线性空间X的Wˉ对偶空间X#(=CCL(X,C)),定义了共轭线性算子T:X→Y的W#-对偶算子T#:Y*→X#与W×-对偶算子T×:T#→X*,并讨论了它们的一系列重要性质.
Conjugate linear operators on normed spaces are discusseo. Their continuity,boundedness and norm are studied. The relations between the space CCL （X, Y） of all continuous conjugate linear operators from X into Y and the space B （X, Y） of all continuous linear operators from X into Y are established. Furthermore, the W-dual space X^# of a complex normed space X is introduced. The W^#-dual operator： T^# ： Y^#→X^# and W^x-dual operator： T^x： T^#→X^# of a continuous conjugate linear operator： T： X→ Y are defined. Finally, some important properties of them are also studied.
出处
《西安文理学院学报（自然科学版）》
2005年第3期28-32,共5页
Journal of Xi’an University(Natural Science Edition)
基金
国家自然科学基金资助项目(19971056)
陕西省自然科学研究计划(2002A02)
