Hilbert A-modules

被引：6
作者：
Cerreia-Vioglio, S. [1 ]
Maccheroni, F.
Marinacci, M.
机构：
[1] Univ Bocconi, Milan, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 446卷 / 01期
关键词：
Hilbert modules; Riesz representation theorem; f-algebras; F-ALGEBRAS; SPACES; THEOREM;
D O I：
10.1016/j.jmaa.2016.07.046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider real pre-Hilbert modules Hon Archimedean f-algebras A with unit e. We provide conditions on A and H such that a Riesz representation theorem for bounded/continuous A-linear operators holds. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：970 / 1017
页数：48
相关论文
共 44 条
  • [1] A REPRESENTATION THEOREM FOR RIESZ SPACES AND ITS APPLICATIONS TO ECONOMICS
    ABRAMOVICH, YA
    ALIPRANTIS, CD
    ZAME, WR
    [J]. ECONOMIC THEORY, 1995, 5 (03) : 527 - 535
  • [2] A characterization of real C(I)-spaces
    Albiac, F.
    Kalton, N. J.
    [J]. AMERICAN MATHEMATICAL MONTHLY, 2007, 114 (08) : 737 - 743
  • [3] Albiac F, 2006, GRAD TEXTS MATH, V233, P1
  • [4] Aliprantis C. D., 2008, PRINCIPLES REAL ANAL
  • [5] Aliprantis C.D., 2003, Locally Solid Riesz Spaces with Applications to Economics
  • [6] Aliprantis C. D., 2006, POSITIVE OPERATORS
  • [7] Aliprantis CD., 2006, INFINITE DIMENSIONAL
  • [8] [Anonymous], 1975, GEOMETRIC FUNCTIONAL
  • [9] [Anonymous], 2011, Probabilistic Metric Spaces
  • [10] [Anonymous], 2010, FUNCTIONAL ANAL
12345