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Decomposable Subsets of 𝕃 p ( T, ℱ, μ, X ) $${\mathbb {L}}^p(T,\mathcal {F},\mu,X)$$

Michał Kisielewicz
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Michał Kisielewicz: University of Zielona Góra

Chapter Chapter 3 in Set-Valued Stochastic Integrals and Applications, 2020, pp 81-106 from Springer

Abstract: Abstract In this chapter selected properties of decomposable subsets of the space of all Bochner p-integrable (equivalence classes of) functions with values in a Banach space (X, |⋅|) are considered. Furthermore, some properties of conditional expectations of subsets of the space 𝕃 p ( T , ℱ , μ , X ) $${\mathbb {L}}^p(T,\mathcal {F},\mu ,X)$$ and set-valued martingales are presented.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-40329-4_3

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DOI: 10.1007/978-3-030-40329-4_3

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