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Set-Convergence and Linear Operators: Some Results with Applications

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Author Info

  • Miglierina Enrico

    ()
    (Department of Economics, University of Insubria, Italy)

  • Molho Elena

    ()
    (Department of Management Sciences, University of Pavia)

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    Abstract

    In this work we study the convergence of the images of a converging sequence of convex sets {An} through a converging sequence of bounded linear operators Ln. The assumptions used here are especially fit for applications in three distinct fields. First, we study the convergence of the kernels of a class of bounded linear operators and of their adjoints. Then, we establish a stability results for the so-called abstract spilne problem, a relevant interpolation tool used, for instance, in econometric and financial applications. Finally, we deal with the stability of the set of efficient solutions for a linear multiobjective optimization problem.

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    File URL: http://eco.uninsubria.it/dipeco/Quaderni/files/QF2005_11.pdf
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    Bibliographic Info

    Paper provided by Department of Economics, University of Insubria in its series Economics and Quantitative Methods with number qf0508.

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    Length: 18 pages
    Date of creation: Sep 2005
    Date of revision:
    Handle: RePEc:ins:quaeco:qf0508

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