This is an announcement for the paper "Some implications of Lebesgue decomposition" by Gianluca Cassese.

Abstract: Based on a generalization of Lebesgue decomposition we obtain a characterization of weak compactness in the space $ba$, a representation of its dual space and some results on the structure of finitely additive measures.

Archive classification: math.FA

Mathematics Subject Classification: Primary 28A25, Secondary 46B50

Submitted from: gianluca.cassese@unimib.it

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1203.1192

or

http://arXiv.org/abs/1203.1192