A Lebesgue decomposition theorem for non-additive functions, acting on a sigma-complete orthomodular lattice and taking values in Hausdorff uniform spaces, is established. No algebraic structure is required on target spaces. The Boolean case is also investigated.
On the Lebesgue decomposition for non-additive functions / Paola, Cavaliere; Paolo de, Lucia; DE SIMONE, Anna; Flavia, Ventriglia. - In: POSITIVITY. - ISSN 1385-1292. - 18:3(2014), pp. 489-503. [10.1007/s11117-013-0257-1]
On the Lebesgue decomposition for non-additive functions
DE SIMONE, ANNA;
2014
Abstract
A Lebesgue decomposition theorem for non-additive functions, acting on a sigma-complete orthomodular lattice and taking values in Hausdorff uniform spaces, is established. No algebraic structure is required on target spaces. The Boolean case is also investigated.File in questo prodotto:
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