SOME RESULTS ABOUT BEST COAPPROXIMATION IN LP（S, X）

被引：0
|
作者：
M. R. Haddadi
机构：
来源：
Analysis in Theory and Applications | 2010年 / 26卷 / 01期
关键词：
coproximinal subspace; cochebyshev subspace; reflexive subspace;
D O I：
暂无
中图分类号：
O177.5 [巴拿赫代数（赋范代数）、拓扑代数、抽象调和分析];
学科分类号：
070104 ;
摘要：
As a counterpart to best approximation in normed linear spaces, the best coap- proximation was introduced by Franchetti and Furi. In this paper, we shall consider the relation between coproximinality M in X and Lp(S, M) in Lp(S, X). Finally we give some results in cochebyshev subspaces and additional subspaces.
引用
收藏
页码：69 / 75
页数：7
相关论文
共 50 条
  • [1] Some Results on Best Coapproximation in L1 (S, X)
    Hamid Mazaheri
    Saaed Javad Jesmani
    [J]. Mediterranean Journal of Mathematics, 2007, 4 : 497 - 503
  • [2] Some results on best coapproximation in L1 (S, X)
    Mazaheri, Hamid
    Jesmani, Saaed Javad
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2007, 4 (04) : 497 - 503
  • [3] Some results for best coapproximation on Banach lattices
    Abrishami-Moghaddam, Majid
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, (45): : 349 - 359
  • [4] Some results on best coapproximation in fuzzy normed spaces
    Abrishami-Moghaddam M.
    Sistani T.
    [J]. Afrika Matematika, 2014, 25 (3) : 539 - 548
  • [5] BEST COAPPROXIMATION IN L-infinity(mu, X)
    Jawdat, J.
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2018, 8 (02): : 448 - 453
  • [6] SOME RESULTS ABOUT LP SPACES - PRELIMINARY REPORT
    PUJARA, L
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (03): : 520 - &
  • [7] Existence of best simultaneous approximations in Lp(S, Σ, X)
    Luo, Xian-Fa
    Li, Chong
    Xu, Hong-Kun
    Yao, Jen-Chih
    [J]. JOURNAL OF APPROXIMATION THEORY, 2011, 163 (09) : 1300 - 1316
  • [8] On some special subspaces of a Banach space, from the perspective of best coapproximation
    Sohel, Shamim
    Ghosh, Souvik
    Sain, Debmalya
    Paul, Kallol
    [J]. MONATSHEFTE FUR MATHEMATIK, 2024, 204 (04): : 969 - 987
  • [9] BEST APPROXIMATION IN LP(I,X)
    KHALIL, R
    [J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1983, 94 (SEP) : 277 - 279
  • [10] Derman’s book as inspiration: some results on LP for MDPs
    Lodewijk Kallenberg
    [J]. Annals of Operations Research, 2013, 208 : 63 - 94
12345