On a Class of Vector-Valued Sequences Associated with Multiplier Sequences

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    摘要 Inthisarticleweintroducethevectorvaluedsequencespacem(Eκ,φ,A),associatedwiththemultipliersequenceA=(λκ)ofnon-zerocomplexnumbers,andthetermsofthesequencearechosenfromtheseminormedspacesEκ,seminormedbyfκforallkεN.Thisgeneralizesthesequencespacere(φ)introducedandstudiedbySargent.Westudysomeofitspropertieslikesolidity,completeness,andobtainsomeinclusionresults.Wealsocharacterizethemultiplierproblemandobtainthecorrespondingspacesdualtom(Eκ,φ,A).Weprovesomegeneralresultstoo.
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    出版日期 2004年03月13日(中国Betway体育网页登陆平台首次上网日期,不代表论文的发表时间)
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