ROTUNDITY

作品数：9被引量：19H指数：3
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Some Rotundities of Orlicz–Lorentz Spaces
《Acta Mathematica Sinica,English Series》2024年第8期1893-1919,共27页Wan Zhong GONG Peng WANG 
Supported by NSFC(Grant No.11771273);National Science Research Project of Anhui Educational Department(Grant No.KJ2019A0487)。
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,th...
关键词：Orlicz-Lorentz space Orlicz norm k-uniform rotundity locally k-uniform rotundity krotundity 
A NOTE IN APPROXIMATIVE COMPACTNESS AND MIDPOINT LOCALLY K-UNIFORM ROTUNDITY IN BANACH SPACES被引量：4
《Acta Mathematica Scientia》2018年第2期643-650,共8页刘春燕 张子厚 周宇 
supported by the National Natural Science Foundation of China(11671252);supported by the National Natural Science Foundation of China(11771278)
In this article, we prove the following results： （1） A Banach space X is weak midpoint locally k-uniformly rotund if and only if every closed ball of X is an approximatively weakly compact k-Chebyshev set; （2） A ...
关键词：k-Chebyshev set approximatively weak compactness approximative compactness weak midpoint locally k-uniform rotundity midpoint locally k-uniform rotundity k-strict rotundity 
On Some Applications of Geometry of Banach Spaces and Some New Results Related to the Fixed Point Theory in Orlicz Sequence Spaces
《Journal of Mathematical Study》2016年第4期325-378,共54页Yunan Cui Henryk Hudzik Radosław Kaczmarek Haifeng Ma Yuwen Wang Meiling Zhang 
The first author gratefully acknowledges the support of the Natural Science Foundation of Heilongjiang Province of China(A2015018);The authors are grateful to Professor Grzegorz Lewicki for his information concerning the proofs of Lemma 2.3 and Theorem 2.4.The fourth author Haifeng Ma gratefully acknowledges the support the National Natural Science Foundation of China(Grant No.11401143);Overseas Returning Foundation of Hei Long Jiang Province(Grant No.LC201402);The fifth author Yuwen Wang gratefully acknowledges the support of the National Natural Science Foundation of China(Grant No.11471091).
We present some applications of the geometry of Banach spaces in the approximation theory and in the theory of generalized inverses.We also give some new results,on Orlicz sequence spaces,related to the fixed point th...
关键词：Approximative compactness proximinality Kadec-Klee property uniform rotundity Orlicz spaces Banach lattices quasi-linear projection generalized inverses 
SOME GEOMETRIC PROPERTIES OF A NEW DIFFERENCE SEQUENCE SPACE INVOLVING LACUNARY SEQUENCES被引量：1
《Acta Mathematica Scientia》2013年第6期1711-1720,共10页Murat KARAKAS Mikail ET Vatan KARAKAYA 
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）...
关键词：difference sequence space lacunary sequence k-NUC property ROTUNDITY Luxemburg norm 
Approximative compactness and continuity of metric projector in Banach spaces and applications被引量：5
《Science China Mathematics》2008年第2期293-303,共11页HUDZIK Henryk KOWALEWSKI Wojciech WISLA Marek 
the State Committee for Scientific Research,Poland (Grant No.1P03A1127);the National Nature Science Foundation of China (Grant Nos.10471032,10671049)
First we prove that the approximative compactness of a nonempty set C in a normed linear space can be reformulated equivalently in another way.It is known that if C is a semi-Chebyshev closed and approximately compact...
关键词：approximative compactness CONTINUITY metric projector midpoint locally uniformly rotundity 46B20 
RELATIVE PRINCIPLE COMPONENT AND RELATIVE PRINCIPLE COMPONENT ANALYSIS ALGORITHM被引量：2
《Journal of Electronics(China)》2007年第1期108-111,共4页Wen Chenglin Wang Tianzhen Hu Jing 
Supported by the National Natural Science Foundation of China (No.60434020, No.60374020);International Coop-eration Item of Henan Province (No.0446650006);Henan Province Outstanding Youth Science Fund (No.0312001900).
In this letter,the new concept of Relative Principle Component (RPC) and method of RPC Analysis (RPCA) are put forward. Meanwhile,the concepts such as Relative Transform (RT),Ro-tundity Scatter (RS) and so on are intr...
关键词：Relative Principle Component （RPC） Relative Transform （RT） Rotundity Scatter （RS） 
Rotundity of Orlicz-Bochner Space with Luxemburg Norm被引量：7
《Journal of Shanghai University(English Edition)》2003年第4期322-326,共5页刘玉霞 石忠锐 张品 
theNationalNaturalScienceFoun dationofChina (GrantNo .199710 2 2 )
In this paper, by using the generating function Φ and X the criteria of the rotundity for the Orlicz-Bochner function and sequence spaces endowed with the Luxemburg norm were obtained. And the sufficient and necessar...
关键词：extreme point ROTUNDITY Orlicz-Bochner space Luxemgury norm. 
UGD PROPERTY OF MUSIELAK-ORLICZ SEQUENCE SPACES
《Applied Mathematics and Mechanics(English Edition)》2003年第2期196-207,共12页王廷辅 计东海 曹连英 
theNationalNaturalScienceFoundationofChina( 10001010),theEducationCommissionFoundationofHeilongjiangProvince
By the properties of the Musielak_Orlicz funciton's sequence, the necessary and sufficient condition for uniform Gateaux differential (UGD) property of Musielak_Orlicz sequence spaces equipped with the Luxemburg norm ...
关键词：Musielak_Orlicz sequence space uniform Gateaux differentiability weakly uniform rotundity 
Complex locally uniform rotundity of Musielak-Orlicz spaces
《Science China Mathematics》2000年第2期113-121,共9页王廷辅 滕岩梅 
This work was supported by the National Natural Science Foundation of China (Grant No.19871020)
The concepts of complex locally uniform rotundity and complex locally uniformly rotund point are introduced. The sufficient and necessary conditions of them are given in complex Musielak-Orlicz spaces.
关键词：COMPLEX LOCALLY UNIFORM ROTUNDITY COMPLEX LOCALLY UNIFORMLY rotund point Musielak-Orlicz spaces. 
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