Approximation of Convex Functions on the Dual Spaces
对偶空间上凸函数的逼近

In this paper, the authors prove that for every \$w\+*\$ lower semicontinuous Lipschitzian convex function on the dual of a bistrictly convexifiable Banach space can be uniformly approximated by a sequence of \$w\+*\$ lower semicontinuous monotone nondecreasing Lipschitzian convex function with the dense very smooth point set.