An Example Concerning the Yosida-Hewitt Decomposition of Finitely Additive Measures

DOI10.2307/2160448zbMath0814.28003OpenAlexW4256462170MaRDI QIDQ4300991

Wolfgang Hensgen

Publication date: 28 May 1995

Full work available at URL: https://doi.org/10.2307/2160448

zbMATH Keywords

Yosida-Hewitt decompositionpurely finitely additive measure

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Contents, measures, outer measures, capacities (28A12) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Related Items (2)

A sufficient condition for a singular functional on \(L^\infty [0, 1\) to be represented on \(\mathcal{C} [0, 1]\) by a singular measure] ⋮ On singular extensions of continuous functionals from C([0,1) to variable Lebesgue spaces]

Cites Work

• Some properties of the vector-valued Banach ideal space \(E(X)\) derived from those of \(E\) and \(X\)
• Finitely Additive Measures
• Unnamed Item

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