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On the Ranges of Additive Correspondences

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Functional Analysis and Economic Theory

Abstract

In this work we consider a variety of finitely additive set-valued set-functions with infinite-dimensional range-spaces. The results are à la Lyapunov, namely they furnish some conditions for the range to have compact/convex closure. Some material concerning set-valued set-functions with values in semigroups is also given both because of its own interest and because it is preparatory for the topological vector space situation.

Thanks to my friend Prof. H. Weber for the fruitful discussions on this paper.

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Author information

Authors and Affiliations

  1. Facoltà di Economia, Dipartimento di Matematica e Statistica, Università Federico II, via Cintia, Complesso Monte S. Angelo, Napoli, 80126, Italy

    Achille Basile

Authors
  1. Achille Basile
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Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, IUPUI, Indianapolis, IN, 46202, USA

    Yuri Abramovich

  2. Department of Education, University of the Aegean, 1 Demokratias Ave., 85100, Rhodes, Greece

    Evgenios Avgerinos

  3. Department of Economics, University of Illinois at Urbana Champaign, Champaign, IL, 61801, USA

    Nicholas C. Yannelis

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© 1998 Springer-Verlag Berlin · Heidelberg

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Basile, A. (1998). On the Ranges of Additive Correspondences. In: Abramovich, Y., Avgerinos, E., Yannelis, N.C. (eds) Functional Analysis and Economic Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72222-6_4

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  • DOI: https://doi.org/10.1007/978-3-642-72222-6_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-72224-0

  • Online ISBN: 978-3-642-72222-6

  • eBook Packages: Springer Book Archive

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