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Banach Limits of Locally Bounded Real Functions on Hausdorff Spaces

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Abstract

In this paper Banach Limits are studied for locally bounded Lipschitz functions on a Hausdorff space.

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References

  1. Bourbaki, N.: Éléments de mathématique. Fasc. II, Livre III: Topologie générale. Hermann et Cie., Paris (1965)

    MATH  Google Scholar 

  2. Jameson, G.: Ordered Linear Spaces, Lect. Notes Math, vol. 141. Springer, Berlin (1970)

  3. Pallaschke, D., Pumplün, D.: Banach limits revisited, Seminarberichte der Fern-Universität Hagen Bd, vol. 87 (2015)

  4. Pumplün, D.: A universal compactification of topological positively convex sets and modules. Journ. Convex Anal. 8(1), 255–267 (2011)

    MATH  Google Scholar 

  5. Wong, Y.C., Ng, K.F.: Partially ordered topological vector spaces. Oxford Mathematical Monographs, Clarendon Press, Oxford (1973)

    MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Operations Research, University of Karlsruhe –KIT, 76128, Karlsruhe, Germany

    D. Pallaschke

  2. Faculty of Mathematics and Computer Science, FernUniversitaet Hagen, 58084, Hagen, Germany

    D. Pumplün

Authors
  1. D. Pallaschke
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  2. D. Pumplün
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Corresponding author

Correspondence to D. Pumplün.

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Dedicated to Horst Herrlich, a truly universal Mathematician

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Pallaschke, D., Pumplün, D. Banach Limits of Locally Bounded Real Functions on Hausdorff Spaces. Appl Categor Struct 24, 743–754 (2016). https://doi.org/10.1007/s10485-016-9460-0

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  • DOI: https://doi.org/10.1007/s10485-016-9460-0

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