Some Rotundities of Orlicz–Lorentz Spaces  

作　　者：Wan Zhong GONG Peng WANG 

机构地区：[1]Department of Mathematics,Anhui Normal University,Wuhu 241000,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第8期1893-1919,共27页数学学报（英文版）

基　　金：Supported by NSFC(Grant No.11771273);National Science Research Project of Anhui Educational Department(Grant No.KJ2019A0487)。

摘　　要：K-UR,K-LUR and K-R are the generalizations of UR,LUR and R respectively,which are of great significance in Banach space theory.While in Orlicz–Lorentz function spaceΛ_(ϕ,ω)^(◦)[0,γ)equipped with the Orlicz norm,the research methods of K-UR,K-LUR and K-R are much more complicated than those of UR,LUR and R.In this paper we obtain some criteria of K-UR,K-LUR and K-R ofΛ_(ϕ,ω)^(◦)[0,γ)by means of the norm of dual space and H_(μ)property ofΛ_(ϕ,ω)^(◦)[0,γ).

关 键 词：Orlicz-Lorentz space Orlicz norm k-uniform rotundity locally k-uniform rotundity krotundity 

分 类 号：O177[理学—数学]