The Dual of L∞(x, L,λ), Finitely Additive Measures and Weak Convergence: A Primer

ISBN-13: 9783030347314 / Angielski / Miękka / 2020 / 99 str.

John Toland

Spis treści

1 Introduction.- 2 Notation and Preliminaries.- 3 L_∞ and its Dual.- 4 Finitely Additive Measures.- 5 G: 0-1 Finitely Additive Measures.- 6 Integration and Finitely Additive Measures.- 7 Topology on G.- 8 Weak Convergence in L_∞(X,L,λ).- 9 L_∞* when X is a Topological Space.- 10 Reconciling Representations.- References.- Index.

O autorze

John Toland FRS is a mathematical analyst who worked in nonlinear partial differential equations and served as Director of the Isaac Newton Institute for Mathematical Sciences in Cambridge (2011-2016). He was awarded the London Mathematical Society Berwick Prize (2000) and the Royal Society Sylvester Medal (2012).