IDEAS home Printed from https://ideas.repec.org/p/igi/igierp/544.html
   My bibliography  Save this paper

Hilbert A-Modules

Author

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
    as

    Download full text from publisher

    File URL: https://repec.unibocconi.it/igier/igi/wp/2015/544.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    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. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Simone Cerreia Vioglio & Fabio Maccheroni & Massimo Marinacci, 2016. "Orthogonal Decompositions in Hilbert A-Modules," Working Papers 577, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    2. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2015. "A Market Foundation for Conditional Asset Pricing," Working Papers 566, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    3. Hansen, Lars Peter, 2013. "Uncertainty Outside and Inside Economic Models," Nobel Prize in Economics documents 2013-7, Nobel Prize Committee.
    4. Epstein, Larry G. & Zin, Stanley E., 2001. "The independence axiom and asset returns," Journal of Empirical Finance, Elsevier, vol. 8(5), pages 537-572, December.
    5. René Garcia & Richard Luger & Eric Renault, 2000. "Asymmetric Smiles, Leverage Effects and Structural Parameters," Working Papers 2000-57, Center for Research in Economics and Statistics.
    6. Patrick Gagliardini & Christian Gouriéroux, 2011. "Approximate Derivative Pricing for Large Classes of Homogeneous Assets with Systematic Risk," Journal of Financial Econometrics, Oxford University Press, vol. 9(2), pages 237-280, Spring.
    7. Peñaranda, Francisco & Sentana, Enrique, 2016. "Duality in mean-variance frontiers with conditioning information," Journal of Empirical Finance, Elsevier, vol. 38(PB), pages 762-785.
    8. Palacios-Huerta, Ignacio, 2001. "The human capital of stockholders and the international diversification puzzle," Journal of International Economics, Elsevier, vol. 54(2), pages 309-331, August.
    9. Dumas, Bernard & Solnik, Bruno, 1995. "The World Price of Foreign Exchange Risk," Journal of Finance, American Finance Association, vol. 50(2), pages 445-479, June.
    10. H. Bertholon & A. Monfort & F. Pegoraro, 2008. "Econometric Asset Pricing Modelling," Journal of Financial Econometrics, Oxford University Press, vol. 6(4), pages 407-458, Fall.
    11. Taufiq Choudhry & Ranadeva Jayasekera, 2015. "Level of efficiency in the UK equity market: empirical study of the effects of the global financial crisis," Review of Quantitative Finance and Accounting, Springer, vol. 44(2), pages 213-242, February.
    12. de Roon, Frans A. & Nijman, Theo E. & Werker, Bas J. M., 2003. "Currency hedging for international stock portfolios: The usefulness of mean-variance analysis," Journal of Banking & Finance, Elsevier, vol. 27(2), pages 327-349, February.
    13. Jaroslav Borovička & Lars Peter Hansen & José A. Scheinkman, 2016. "Misspecified Recovery," Journal of Finance, American Finance Association, vol. 71(6), pages 2493-2544, December.
    14. Henri Bertholon & Alain Monfort & Fulvio Pegoraro, 2006. "Pricing and Inference with Mixtures of Conditionally Normal Processes," Working Papers 2006-28, Center for Research in Economics and Statistics.
    15. Carrasco-Gutierrez, Carlos Enrique & Issler, João Victor, 2012. "Constructing common-factor portfolios," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 731, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    16. Jorge H. del Castillo-Spíndola, 2006. "A Non-Parametric Test of the Conditional CAPM for the Mexican Economy," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 21(2), pages 275-297.
    17. Ian W. R. Martin & Dimitris Papadimitriou, 2022. "Sentiment and Speculation in a Market with Heterogeneous Beliefs," American Economic Review, American Economic Association, vol. 112(8), pages 2465-2517, August.
    18. Gagliardini, Patrick & Ossola, Elisa & Scaillet, Olivier, 2019. "A diagnostic criterion for approximate factor structure," Journal of Econometrics, Elsevier, vol. 212(2), pages 503-521.
    19. Peñaranda, Francisco & Sentana, Enrique, 2012. "Spanning tests in return and stochastic discount factor mean–variance frontiers: A unifying approach," Journal of Econometrics, Elsevier, vol. 170(2), pages 303-324.
    20. Alain Monfort & Fulvio Pegoraro & Jean-Paul Renne & Guillaume Roussellet, 2021. "Affine Modeling of Credit Risk, Pricing of Credit Events, and Contagion," Management Science, INFORMS, vol. 67(6), pages 3674-3693, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:igi:igierp:544. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: http://www.igier.unibocconi.it/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.