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On Stability of Convex Operators

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Optimization and Operations Research

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 157))

Abstract

In this article the uniform boundedness theorem is proved for convex operators. It is a continuation of the investigations in [2] and [3].

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References

  1. H. Hahn: Reelle Funktionen 1 Teil, Akademische Verlagsgesellschaft, Leipzig, 1932.

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  2. P. Kosmol: Optimierung konvexer Funktionen mit Stabilitätsbetrachtungen. Dissertationes Mathematicae CXL, 1976.

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  3. P. Kosmol, W. Schill, M. Wriedt: Der Satz von Banach-Steinhaus für konvexe Operatoren. To appear.

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  4. A.L. Peressini: Ordered Topological Vector Spaces. Harper’s Series in Modern Mathematics, 1967.

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  5. J. Wloka: Funktionalanalysis und Anwendungen de Gruyter-Berlin-New York, 1971.

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© 1978 Springer-Verlag Berlin Heidelberg

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Kosmol, P. (1978). On Stability of Convex Operators. In: Henn, R., Korte, B., Oettli, W. (eds) Optimization and Operations Research. Lecture Notes in Economics and Mathematical Systems, vol 157. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-95322-4_18

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  • DOI: https://doi.org/10.1007/978-3-642-95322-4_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08842-4

  • Online ISBN: 978-3-642-95322-4

  • eBook Packages: Springer Book Archive

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