This chapter is devoted to the set of finitely additive measures which take only the values 0 or 1 and explains the sense in which every essentially bounded function is constant-almost everywhere. The existence of elements of with prescribed properties is established using Zorn’s lemma and a relation between elements of and maximal filters. This observation and its consequences dominate subsequent developments.
|Title of host publication||The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence|
|Place of Publication||Cham, Switzerland|
|Publisher||Springer Science and Business Media B.V.|
|Number of pages||6|
|Publication status||E-pub ahead of print - 3 Jan 2020|
|Name||SpringerBriefs in Mathematics|
ASJC Scopus subject areas