Orlicz空间的Neumann-Jordan常数

NEUMANN-JORDAN CONSTANT OF ORLICZ SPACES

证明了Banach空间X的Neumann－Jordan常数CNJ(X)＜2当且仅当X的（James定义下）非方常数J(X)＜2．利用第二作者关于Orlicz空间的非方常数的估计，求出一类自反Orlicz空间Neumann－Jordan常数的精确值．

It it proved that in Banach space X, the Neumann-Jordan constants CNJ(X) <2 if and only if the nonsquare constant (in James sense) J(X) < 2. The exact values ofNeu-mann-Jordan constant of a type of refiexive Orlicz spaces are obtained.