Envelopes and inequalities in vector lattices

被引：0
作者：
A. G. Kusraev
S. S. Kutateladze
机构：
[1] Southern Mathematical Institute,Vladikavkaz Scientific Center of the Russian Academy of Sciences
[2] Sobolev Institute of Mathematics,Siberian Division of the Russian Academy of Sciences
来源：
Positivity | 2011年 / 15卷
关键词：
Vector lattice; Functional calculus; Envelope representation; Convexity inequality; Sublinear operator; Superlinear operator; Polyhedral operator; Interval operator; Interval analysis; Subdifferential; 47A60; 47B65; 46A63; 65G40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to obtain a version of continuous functional calculus and some new envelope representation results in vector lattices as well as to indicate some applications.
引用
收藏
页码：661 / 676
页数：15
相关论文
共 50 条
  • [31] b-property of sublattices in vector lattices
    Gorokhova, Svetlana
    Alpay, Safak
    TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (04) : 1555 - 1563
  • [32] On some vector lattices of operators and their finite elements
    Hahn, Norbert
    Hahn, Siegfried
    Weber, Martin R.
    POSITIVITY, 2009, 13 (01) : 145 - 163
  • [33] Canonical extensions of bounded archimedean vector lattices
    Bezhanishvili, Guram
    Morandi, Patrick J.
    Olberding, Bruce
    ALGEBRA UNIVERSALIS, 2018, 79 (01)
  • [34] On the structure of orthosymmetric bilinear operators on vector lattices
    A. G. Kusraev
    Doklady Mathematics, 2006, 73 : 331 - 333
  • [35] Homogeneous orthogonally additive polynomials on vector lattices
    Kusraeva, Z. A.
    MATHEMATICAL NOTES, 2012, 91 (5-6) : 657 - 662
  • [36] Canonical extensions of bounded archimedean vector lattices
    Guram Bezhanishvili
    Patrick J. Morandi
    Bruce Olberding
    Algebra universalis, 2018, 79
  • [37] On extensions of some nonlinear maps in vector lattices
    Abasov, Nariman
    Pliev, Marat
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 455 (01) : 516 - 527
  • [38] uτ-convergence in locally solid vector lattices
    Dabboorasad, Y. A.
    Emelyanov, E. Y.
    Marabeh, M. A. A.
    POSITIVITY, 2018, 22 (04) : 1065 - 1080
  • [39] MONOMIAL DECOMPOSITION OF HOMOGENEOUS POLYNOMIALS IN VECTOR LATTICES
    Kusraev, Anatoly G.
    Kusraeva, Zalina A.
    ADVANCES IN OPERATOR THEORY, 2019, 4 (02): : 428 - +
  • [40] Cesaro vector lattices and their ideals of finite elements
    Gonullu, Ugur
    Polat, Faruk
    Weber, Martin R. R.
    POSITIVITY, 2023, 27 (02)
12345