Operator versions of the Kantorovich inequality

被引:7
|
作者
Spain, PG
机构
关键词
Kantorovich inequality; Cauchy-Schwarz inequality;
D O I
10.1090/S0002-9939-96-03424-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The Operator Kantorovich Inequality (R(2) - r(2)) u* (a* a) u less than or equal to R(2)(u* a* u)(u* au) holds for a wide class of operators a on a Hilbert space H and all operators u : K --> H for which [a] u is a partial-isometry, [a] being the range projection of a.
引用
收藏
页码:2813 / 2819
页数:7
相关论文
共 50 条
  • [41] Applications of the Poincare inequality to extended Kantorovich method
    Chang, Der-Chen
    Nguyen, Tristan
    Wang, Gang
    Wereley, Norman M.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2006, 2006 (1)
  • [42] A Direct Theorem for MKZ-Kantorovich Operator
    I. Gadjev
    Analysis Mathematica, 2019, 45 : 25 - 38
  • [43] Kantorovich type reverse inequalities for operator norm
    Fujii, JI
    Seo, Y
    Tominaga, M
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2005, 8 (03): : 529 - 535
  • [44] A Direct Theorem for MKZ-Kantorovich Operator
    Gadjev, I.
    ANALYSIS MATHEMATICA, 2019, 45 (01) : 25 - 38
  • [45] Approximation of Functions by Baskakov-Kantorovich Operator
    Gadjev, Ivan
    RESULTS IN MATHEMATICS, 2016, 70 (3-4) : 385 - 400
  • [46] On Kantorovich inequality and Holder-McCarthy inequalities
    Lin, CS
    Cho, YJ
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2004, 11 (04): : 481 - 490
  • [47] SOME EXTENSIONS OF THE KANTOROVICH INEQUALITY AND STATISTICAL APPLICATIONS
    KHATRI, CG
    RAO, CR
    JOURNAL OF MULTIVARIATE ANALYSIS, 1981, 11 (04) : 498 - 505
  • [48] Applications of the poincaré inequality to extended Kantorovich method
    Der-Chen Chang
    Tristan Nguyen
    Gang Wang
    Norman M. Wereley
    Journal of Inequalities and Applications, 2006
  • [49] Approximation of Functions by Baskakov-Kantorovich Operator
    Ivan Gadjev
    Results in Mathematics, 2016, 70 : 385 - 400
  • [50] A direct proof and a generalization for a Kantorovich type inequality
    Huang, HG
    Zhou, JY
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 397 : 185 - 192