Journal of Liaoning Petrochemical University ›› 2005, Vol. 25 ›› Issue (2): 89-91.

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Dual Space of Space l→pq

  

  1. 1 .School of Mathematics , Liaoning Normal University , Dalian liaoning 116029 , P .R .China ;
    2.Fushun Vocational Technology College , Fushun Liaoning 113006 , P .R .China
  • Received:2005-03-05 Published:2005-06-20 Online:2017-04-18

空间l→pq的对偶空间

付　莹1, 2 , 　范传强1 , 　王晶昕1   

  1. 1 .辽宁师范大学数学学院, 辽宁大连116029 ;
    2 .抚顺职业技术学院, 辽宁抚顺113006
  • 作者简介:付莹(1971 -), 女, 辽宁抚顺市, 在读硕士。

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Abstract:

        Double sequence space is a kind of important Banach sequence space , but the expression of this kind of spaces' continuous linear functional is not completely clear .l→pq is a sort of double sequence space , in which the expression of continuous linear functional was talked about w hen 0 < p , q ≤1 .Firstly , {eij}∞i , j =1 being Schander basis of space l → pq was proved .Based on the result , the expression of continuous linear functional of the space l → pq was also studied .The dual space of double sequence space l→ pq being (l→pq)＊ =l → ∞∞ was proved

Key words: 　h -Banach space , 　Schauder basis, Dual space

摘要：         二重序列空间是一类重要的Banach 序列空间, 而这类空间的连续线性泛函的表示还没有完全清楚。l →pq是一类二重序列空间, 就该空间在范围0 <p , q ≤1 内讨论其连续线性泛函的表示。首先证明了{eij}∞i , j =1是空间l →pq的一组Schauder 基, 并在此基础上研究了二重序列空间l →pq的连续线性泛函的表示, 证明了空间l →pq的对偶空间为(l→pq)＊=l → ∞∞。

关键词: 　h -Banach 空间, 　Schauder 基, 　对偶空间

Cite this article

FU Ying,FAN Chuan -qiang,WANG Jing -xin. Dual Space of Space l→pq[J]. Journal of Liaoning Petrochemical University, 2005, 25(2): 89-91.

付　莹, 范传强,王晶昕. 空间l→pq的对偶空间[J]. 辽宁石油化工大学学报, 2005, 25(2): 89-91.

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