摘要
本文讨论长James空间(J(η),‖·‖)单位球面S(J(η),‖·‖)上极端点和光滑点的判定定理,并给出在光滑点处范数‖·‖的Gateaux微分公式,
This article discusses some criteria for extreme points and smooth points of the unit sphere S(J(η)‖·‖)of long James spaces(J(η),‖·‖), and gives the formula for Gateaux differentiation of the norm‖·‖at the smooth points.
关键词
James空间
极端点
光滑点
球面
long James space
extreme point
smooth point
Gateaux differentiation