关于p-Cesàro序列空间X_p(0<p≤1)

ON p-BANACH SEQUENCE SPACES X_P(0<p≤1)

讨论p-Cesàro序列空间X_■(0<p≤1)的α,β,γ对偶空间及连续对偶空间,证明了X_p~α=X_p~β =X_p~γ■X_p~*,X_p~γ≠X_p~*.

We study the α-dual,β-dual,γ-dual and continuous dual of p-Ces■ro sequence space X_p(0<p≤1) and prove that X_p~α=X_p~β =X_p~γ ■X_p~* ,X_p~γ≠X_p~*.