Apr 19, 2013
I have updated Chapter 11 yet again for the following purposes. Propositions 11.140 and 11.190 and Theorem 11.196 are added for sharper results on the normed linear space of finite Y-valued measures on a measurable space. Propositions 11.186 and 11.187 are added for the generation process of σ-finite topological measure space from sequence of finite topological measure spaces. Proposition 11.185 is new. Propositions 11.137, 11.138, 11.145, and 11.146 are added to introduce the notion of vector measure. I am working on Chapter 12 and will include the new chapter after I complete an iteration on that chapter.