Abstract
On the basis of recent developments in measure theory the present note obtains a few new versions of the classical Radon-Nikodým theorem, with the aim to combine simple formulations with wide domains of application.
Mathematics Subject Classification (2000): 28A15.
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
H. Bauer, Mass-und Integrationstheorie. 2nd. ed. Berlin 1992; English translation 2001.
D. Candeloro and A. Volčič, Radon-Nikodým theorems. In: Handbook of Measure Theory. E. Pap ed., 249–294, Amsterdam 2002.
J. Elstrodt, Mass-und Integrationstheorie. 2nd.ed. Berlin-Heidelberg-New York 1999.
D. H. Fremlin, Measure Theory. Vol. 1-4 Torres Fremlin 2000–2003 (in the references the first digit of an item indicates its volume).
P. R. Halmos, Measure Theory. New York 1950; Berlin 1974.
D. Kölzow, Adaptions-und Zerlegungseigenschaften von Massen. Math. Z. 94, 309–321 (1966).
D. Kölzow, Differentiation von Massen. LNM 65, Berlin-Heidelberg-New York 1968.
H. König, Measure and Integration: An Advanced Course in Basic Procedures and Applications. Berlin- Heidelberg-New York 1997.
H. König, What are signed contents and measures? Math. Nachr. 204, 101–124 (1999).
H. König, Measure and Integration: An attempt at unified systematization. Rend. Ist. Mat. Univ. Trieste 34, 155–214 (2002). Preprint under http://www.math.uni-sb.de/PREPRINTS/preprint42_OnlinePDF.pdf.
H. König, Errata et Addenda. http://www.math.uni-sb.de/EX/koenig/.
M. Leinert, Integration und Maß. Braunschweig 1995.
L. Schwartz, Radon Measures on Arbitrary Topological Spaces and Cylindrical Measures. Oxford 1973.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer Basel
About this chapter
Cite this chapter
König, H. (2012). New versions of the Radon-Nikodým theorem. In: Measure and Integration. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0382-3_15
Download citation
DOI: https://doi.org/10.1007/978-3-0348-0382-3_15
Received:
Published:
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0381-6
Online ISBN: 978-3-0348-0382-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)