Abstract
Let X be a nonvoid set, and let B(X) denote the Banach space of all bounded fε∈RX with the usual norm \(\left\| f \right\|: = \sup _X \left| f \right|\left( {\left. {\mathop { = \sup }\limits_{x\varepsilon X} } \right|f\left( x \right)} \right)\).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bauer, H.: Wahrscheinlichkeitstheorie und Grundzüge der Maßtheorie, de Gruyter, Berlin-New York, 1978.
Fuchssteiner, B. and W. Lusky: Convex cones. Math. Studies 56, North Holland, Amsterdam-New York-Oxford, 1981.
Glicksberg, I.: The representation of functionals by integrals, Duke Math. J. 19, 253–261 (1951).
Kaufman, R.: Interpolation of additive functional. Studia Math. 27, 269–272(1966).
Kindler, J.: Minimaxtheoreme und das Integraldarstellungsproblem. Manuscripta Math. 29, 277–294 (1979).
Kindler, J.: A simple proof of the Daniell-Stone representation theorem. Amer. Math. Monthly 258, 000-000(1983).
Pollard, D. and F. Topsøe: A unified approach to Riesz type representation theorems. Studia Math. 54, 173–190(1975).
Varadarajan, V. S.: Measures on topological spaces, AMS Translations 48, 161–228(1965).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kindler, J. (1984). Integral Representation of Functionals on Arbitrary Sets of Functions. In: Hammer, G., Pallaschke, D. (eds) Selected Topics in Operations Research and Mathematical Economics. Lecture Notes in Economics and Mathematical Systems, vol 226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45567-4_30
Download citation
DOI: https://doi.org/10.1007/978-3-642-45567-4_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12918-9
Online ISBN: 978-3-642-45567-4
eBook Packages: Springer Book Archive