抽象对偶对上的滑脊性(英文)

Abstract Gliding Hump Properties in the Vector-Valued Dual Pair

给出F-弱滑脊性的定义,利用此性质,证明如果λ是一个具有F-弱滑脊性的数量空间,λ-乘数无序收敛是一个对偶不变性.如果(λ,β(λ,λ^(uβ)))是FAK-空间,则上述性质变成全程不变性.

In this note we establish the definition of F-weak gliding hump property firstly. By utilizing this property, we present that A-multiplier unordered convergent is a dual invariant property if A is a scalar space with F-WGHP. we also show that A-multiplier unordered convergence is a full invariant if （λ, β（λ,λuβ） is a FAK-space.