12 citations · 37 across the 19 of their papers we have counts for
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Some Properties of The Finitely Additive Vector Integral
Gianluca Cassese
We prove some results concerning the finitely additive, vector integral of Bochner and Pettis and their representation over a countably additive probability space. Applications to…
A Minimax Lemma and its Applications
Gianluca Cassese
We prove an easy version of the minimax theorem with no topological assumption. We deduce from it some domination criteria as well as an application to -summing operators.
Kelley's Theorem and Some Related Results
Gianluca Cassese
We give an elementary proof of Kelley's theorem based on a minimax argument. Some applications to related problems are also developed.
Control measures on Boolean algebras
Gianluca Cassese
In this paper we discuss the existence of a control measure for a family of measures on a Boolean algebra. We obtain a necessary and sufficient condition and several related result…
A Version of Komlós Theorem for Additive Set Functions
Gianluca Cassese
We provide a version of the celebrated theorem of Komlós in which, rather then random quantities, a sequence of finitely additive measures is considered. We obtain a form of the su…
Conglomerability and Finitely Additive Representations
Gianluca Cassese
We prove results concerning the representation of a given distribution by means of a given random quantity. The existence of a solution to this problem is related to the notion of…