Sequential density techniques for an approximate Radon–Nikodým theorem.
Several remarks to the Riesz representation theorem
Some change of variable formulas in integral representation theory.
Some consequences of a kind of Hahn-Banach's theorem
Some remarks on Gleason measures
This work is devoted to generalizing the Lebesgue decomposition and the Radon-Nikodym theorem to Gleason measures. For that purpose we introduce a notion of integral for operators with respect to a Gleason measure. Finally, we give an example showing that the Gleason theorem does not hold in non-separable Hilbert spaces.
Strong Fubini axioms from measure extension axioms
It is shown that measure extension axioms imply various forms of the Fubini theorem for nonmeasurable sets and functions in Radon measure spaces.
Sulla differenziazione degli integrali di Daniell-Stone
Sulla rappresentazione di funzionali mediante integrali
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