Abstract
This chapter opens by observing the relation between Dirac measures acting on C(\(\mathfrak G\),\(\tau \)) and elements of \(\mathfrak G\) acting on \(L_\infty \). This leads to a pointwise characterisation of weakly convergent sequences in \(L_\infty \) that settles some quite subtle questions about the weak convergence of specific sequences that are pointwise convergent.
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Toland, J. (2020). Weak Convergence in \(L_\infty (X, \mathcal L, \lambda )\) . In: The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-34732-1_8
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DOI: https://doi.org/10.1007/978-3-030-34732-1_8
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-030-34732-1
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