Brownian motions, martingales, and Wiener processes are introduced and studied for set valued functions taking values in the subfamily of compact convex subsets of arbitrary Banach space X. The present paper is an application of the paper [17] in which an embedding result is obtained which considers also the ordered structure of ck (X) and of [14, 15] in which these processes are considered in f-algebras

Set-valued Brownian motion

Candeloro, Domenico
Membro del Collaboration Group
;
Sambucini, Anna Rita
Membro del Collaboration Group
2018

Abstract

Brownian motions, martingales, and Wiener processes are introduced and studied for set valued functions taking values in the subfamily of compact convex subsets of arbitrary Banach space X. The present paper is an application of the paper [17] in which an embedding result is obtained which considers also the ordered structure of ck (X) and of [14, 15] in which these processes are considered in f-algebras
2018
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1421989
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