The Dual Spaces of Sets of Difference Sequences of Order m and Matrix Transformations

作     者：Eberhard MALKOWSKY M.MURSALEEN Suthep SUANTAI 

作者机构：Department of MathematicsUniversity of GiessenArndtstrasse 2D-35392 GiessenGermany and Department of MathematicsFaculty of Sciences and MathematicsUniversity of NiViegradska 3318000 NiSerbia and Montenegro Department of MathematicsAligarh Muslim UniversityAligarh 202002India and Department of MathematicsFaculty of Science Department of MathematicsChiang Mai UniversityChiang MaiThailand 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2007年第23卷第3期

页      面：521-532页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the German DAAD Foundation(German Academic Exchange Service)Grant No.911 103 012 8 the Research Project #1232 of the Serbian Ministry of Science,Technology and Development 

主　　题：difference sequences dual spaces matrix transformations 

摘      要：Let p = （pk）k=0^∞ be a bounded sequence of positive reals, m C N and u be s sequence of nonzero terms. If x = （xk）k=0^∞ is any sequence of complex numbers we write Δ（m）x for the sequence of the m th order differences of x and Δu^（m）X = {x=（x）k=0^∞ uΔ（m）x ∈ X} for any set X of sequences. We determine the α-, β- and γ-duals of the sets Δμ^（m）X for X=co（p）,c（p）,l∞（p） and characterize some matrix transformations between these spaces Δ^（m）X.