矩阵域l_A^p的哈恩性质(英文)
On Hahn Properties of Matrix Domains l_A^p
摘要
给出了两个关于矩阵域lAp(1≤p<∞)的哈恩性质的结果,从而推广了近期的类似结果.
Several results concerning the Hahn properties of matrix domains lA^p(1 ≤ p〈∞) are established in this note. These results are the generalizations of the recent similar results.
出处
《延边大学学报(自然科学版)》
CAS
2009年第2期106-108,共3页
Journal of Yanbian University(Natural Science Edition)
关键词
哈恩性质
矩阵域
序列空间
matrix domain
Hahn property
sequence space
参考文献6
-
1Boos J,Leiger T.Sequences of 0's and 1's:Special Sequence Spaces with the Separable Hahn Property[J].Acta Math Hungar,2007,115(4):341-356.
-
2Bennet G,Boos J,Leiger T.Sequences of 0's and 1's[J].Studia Math,2002,149(1):75-99.
-
3Wilanski A.Modern Methods in Topological Vector Spaces[M].New York:McGraw-Hill,1978.
-
4Boos J,Leiger T.Addendum:Sequences of 0's and 1's[J].Studia Math,2005,171(2):305-309.
-
5郑福,崔成日.矩阵域上滑脊性的应用(英文)[J].延边大学学报(自然科学版),2008,34(1):18-20. 被引量:1
-
6Bennet G.A New Class of Sequence Space with Applications in Summability Theory[J].J Reine Angew Math,1974,266(1):49-75.
二级参考文献7
-
1[1]Boos J,Stuart C,Swartz C.Gliding Hump Properties of Matrix Domains[J].Analysis Mathematica,2004,30:243-257.
-
2[2]Lebesgure H.Sur Les Integfales Singlieres[J].Ann de Toulouse,1909,1:25-117.
-
3[3]Dominikus Noll.Sequential Completeness and Spaces with the Gliding Hump Property[J].Manuscripta Math,1990,66:237-252.
-
4[4]Stuart C E.Weak Sequential Completeness of β-duals[J].Rocky Mountain J Math,1996,26:1559-1568.
-
5[5]Boos J,Leiger T.General Theorems of Mazur-Orlicz Type[J].Studia Math,1989,92:1-19.
-
6[6]Swartz C,Stuart C.Uniform Convegence in the Dual of a Vector-Valued Sequence Space[J].Taiwan Residents Journal of Mathematics,2003,7(4):665-676.
-
7[7]Lorentz G G.A Contribution to the Theory of Divergent Sequences[J].Acta Mat,1948,80:167-190.