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Hilbert A-Modules

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Listed:
  • Simone Cerreia Vioglio
  • Fabio Maccheroni
  • Massimo Marinacci

Abstract

We consider real pre-Hilbert modules H on 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.

Suggested Citation

  • Simone Cerreia Vioglio & Fabio Maccheroni & Massimo Marinacci, 2015. "Hilbert A-Modules," Working Papers 544, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    • Handle: RePEc:igi:igierp:544
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    References listed on IDEAS

    as
    1. S. Cerreia-Vioglio & M. Kupper & F. Maccheroni & M. Marinacci & N. Vogelpoth, 2014. "Conditional Lp-spaces and the duality of modules over f-algebras," Working Papers 535, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    2. Abramovich, Y A & Aliprantis, C D & Zame, W R, 1995. "A Representation Theorem for Riesz Spaces and Its Applications to Economics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 527-535, May.
    3. Hansen, Lars Peter & Richard, Scott F, 1987. "The Role of Conditioning Information in Deducing Testable," Econometrica, Econometric Society, vol. 55(3), pages 587-613, May.
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