On Measurability of C[0,1]

Varayu Boonpogkrong

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  • Support Team

Keywords:

McShane integral, McShane-Kurzweil integral, McShane-Wiener integral, Wiener measure, measurability of C[0, 1]

Abstract

In classical stochastic calculus, the measurability of the space C[0,1] of all continuous functions on [0,1] is handled by continuous modification. In this note, we shall prove that C[0,1] is measurable in a setting of a dyadic Henstock integral.

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Published

2021-12-01

How to Cite

Team, S. (2021). On Measurability of C[0,1]: Varayu Boonpogkrong. Thai Journal of Mathematics, 19(4), 1565–1574. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1254

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