Abstract
In this chapter we introduce, mostly without proofs, some basic measure-theoretic tools needed in the next chapters. We decided to present the most significant result in the quite general framework of separable metric spaces in view of possible applications to infinite dimensional Hilbert (or Banach) spaces, thus avoiding any local compactness assumption (we refer to the treatises [126, 71, 72, 136, 67] for comprehensive presentations of this subject).
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Rights and permissions
Copyright information
© 2008 Birkhäuser Verlag AG
About this chapter
Cite this chapter
(2008). Preliminary Results on Measure Theory. In: Gradient Flows. Lectures in Mathematics ETH Zürich. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8722-8_7
Download citation
DOI: https://doi.org/10.1007/978-3-7643-8722-8_7
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8721-1
Online ISBN: 978-3-7643-8722-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)