典型文献
ORLICZ-LORENTZ SEQUENCE SPACES EQUIPPED WITH THE ORLICZ NORM
文献摘要：
In this article,we consider Orlicz-Lorentz sequence spaces equipped with the Orlicz norm(λψ,ω,||·||Oψ,ω)generated by any Orlicz function and any non-increasing weight sequence.As far as we know,research on such a general case is conducted for the first time.After showing that the Orlicz norm is equal to the Amemiya norm in general and giving some important properties of this norm,we study the problem of existence of order isomorphically isometric copies of l∞ in the space(λψ,ω,||·||Oω)and we find criteria for order continuity and monotonicity properties of this space.We also find criteria for monotonicity properties of n-dimensional subspaces λnψ,ω(n≥2)and the subspace(λψ,ω,)a of order continuous elements ofλψ,ω.Finally,as an immediate consequence of the criteria considered in this article,the properties of Orlicz sequence spaces equipped with the Orlicz norm are deduced.
文献关键词：
中图分类号：
作者姓名：
Yunan CUI;Pawe? FORALEWSKI;Joanna KO?CZAK
作者机构：
Department of Mathematics,Harbin University of Science and Technology,Harbin 150080,China;Faculty of Mathematics and Computer Science,Adam Mickiewicz University,Poznań,Uniwersytetu Poznańskiego 4,61-614 Poznań,Poland
文献出处：
引用格式：
[1]Yunan CUI;Pawe? FORALEWSKI;Joanna KO?CZAK-.ORLICZ-LORENTZ SEQUENCE SPACES EQUIPPED WITH THE ORLICZ NORM)[J].数学物理学报（英文版）,2022(02):623-652
A类：
ORLICZ,LORENTZ,SEQUENCE,SPACES,EQUIPPED,Amemiya,isomorphically
B类：
WITH,THE,NORM,In,this,article,Orlicz,Lorentz,equipped,norm,generated,by,any,function,increasing,weight,far,know,research,such,general,case,conducted,first,After,showing,that,equal,giving,important,properties,study,problem,existence,order,isometric,copies,find,criteria,continuity,monotonicity,We,also,dimensional,subspaces,continuous,elements,Finally,immediate,consequence,considered,are,deduced
AB值：
0.411126
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