Abstract
Let (X,𝒜) be a measurable space. A function
is a signed measure (resp. complex measure) if µ(Ø) = 0 and
for every disjoint sequence {A n : n = 1, ...}. If µ is a signed (resp. complex) measure we shall refer to the symbol (X, 𝒜, ₵) as a signed (resp. complex) measure or a signed (resp. complex) measure space. Note that every measure on (X, 𝒜) is a signed measure.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1976 B. G. Teubner, Stuttgart
About this chapter
Cite this chapter
Benedetto, J.J. (1976). Spaces of measures and the Radon-Nikodym theorem. In: Real Variable and Integration. Mathematische Leitfäden. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-96660-5_5
Download citation
DOI: https://doi.org/10.1007/978-3-322-96660-5_5
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-519-02209-1
Online ISBN: 978-3-322-96660-5
eBook Packages: Springer Book Archive