延边大学学报(自然科学版)
延邊大學學報(自然科學版)
연변대학학보(자연과학판)
JOURNAL OF YANBIAN UNIVERSITY(NATURAL SCIENCE EDITION)
2010年
3期
192-195
,共4页
s-乘数收敛%AK-空间%Helliger T(o)plitz拓扑
s-乘數收斂%AK-空間%Helliger T(o)plitz拓撲
s-승수수렴%AK-공간%Helliger T(o)plitz탁복
s-multiplier convergence%AK-space%Helliger Tplitz topology
讨论乘数收敛级数的Orlicz-Pettis型定理.首先给出一个新的Helliger T(o)plitz拓扑δ(X,X′), 然后证明若数列空间s包含c00, 则(s,δ(s,sβ))是AK -空间;若数列空间s具有性质G, 则(s,c(s,sβ))是AK -空间.
討論乘數收斂級數的Orlicz-Pettis型定理.首先給齣一箇新的Helliger T(o)plitz拓撲δ(X,X′), 然後證明若數列空間s包含c00, 則(s,δ(s,sβ))是AK -空間;若數列空間s具有性質G, 則(s,c(s,sβ))是AK -空間.
토론승수수렴급수적Orlicz-Pettis형정리.수선급출일개신적Helliger T(o)plitz탁복δ(X,X′), 연후증명약수렬공간s포함c00, 칙(s,δ(s,sβ))시AK -공간;약수렬공간s구유성질G, 칙(s,c(s,sβ))시AK -공간.
The Orlicz-Pettis type theorems for multiplier convergent series was discussed. We first present a new Helliger T(o)plitz topology δ(X,X′), sencordly we prove that if s is a sequence space which contains c00, then (s,δ(s,sβ)) is an AK-space, finally we show that if s has property G, then (s,c(s,sβ)) is an AK-space.