Set-valued Brownian motion

Valeria Marraffa, Domenico Candeloro, Coenraad C. A. Labuschagne, Anna Rita Sambucini

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Brownian motions, martingales, and Wiener processes are introduced andstudied for set valued functions taking values in the subfamily of compact convexsubsets of arbitrary Banach spaces X. The present paper is an application of the paper(Labuschagne et al. in Quaest Math 30(3):285–308, 2007) in which an embeddingresult is obtained which considers also the ordered structure of the family of compact convex subsets of a Banach space X and of Grobler and Labuschagne (J Math AnalAppl 423(1):797–819, 2015; J Math Anal Appl 423(1):820–833, 2015) in which theseprocesses are considered in f-algebras.Moreover, in the space of continuous functionsdefined on a Stonian space, a direct Levy’s result follows.
Original languageEnglish
Pages (from-to)347-360
Number of pages14
JournalRicerche di Matematica
Volume67
Publication statusPublished - 2018

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics

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