This chapter introduces a compact Hausdorff topology on and from theory already developed derives the existence of an isometric isomorphism between the Banach algebra and the space of real-valued continuous functions C. This leads to, among other things, a duality between weak convergence in and weak convergence in C.
|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||10|
|Publication status||E-pub ahead of print - 3 Jan 2020|
|Name||SpringerBriefs in Mathematics|
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