SOME GEOMETRIC PROPERTIES OF A NEW DIFFERENCE SEQUENCE SPACE INVOLVING LACUNARY SEQUENCES  被引量:1

SOME GEOMETRIC PROPERTIES OF A NEW DIFFERENCE SEQUENCE SPACE INVOLVING LACUNARY SEQUENCES

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作  者:Murat KARAKAS Mikail ET Vatan KARAKAYA 

机构地区:[1]Department of Mathematics,Firat University [2]Department of Mathematical Engineering,Yildiz Technical University,Davutpasa Campus

出  处:《Acta Mathematica Scientia》2013年第6期1711-1720,共10页数学物理学报(B辑英文版)

摘  要:In this paper, we define a new generalized difference sequence space involving lacunary sequence. Then, we examine k-NUC property and property (β) for this space and also show that it is not rotund where p = (pr) is a bounded sequence of positive real numbers with pr ≥ 1 for all r ∈ N.In this paper, we define a new generalized difference sequence space involving lacunary sequence. Then, we examine k-NUC property and property (β) for this space and also show that it is not rotund where p = (pr) is a bounded sequence of positive real numbers with pr ≥ 1 for all r ∈ N.

关 键 词:difference sequence space lacunary sequence k-NUC property ROTUNDITY Luxemburg norm 

分 类 号:O177.2[理学—数学]

 

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