Banach空间中Asplund平均技巧再赋范对于URWC范数的应用(英文)

Applications of Asplund Averaging Procedureto URWC norm in a Banach space

利用方向凸性模的另一形式 η(A ,M)表示Banach空间中的某些凸性范数 ,并证明了Asplund平均技巧可用于弱紧子集方向一致凸 (URWC)

In this paper, some rotundity notions are expressed in η(A,M) , And that Asplund method can be used to the norm of uniformly rotund in weakly compact sets of directions are proved.