Regularization of Cylindrical Processes In Locally Convex Spaces
Probability
2021-01-25 v2 Functional Analysis
Abstract
Let be a locally convex space and let denote its strong dual. In this paper we introduce sufficient conditions for the existence of a continuous or a c\`{a}dl\`{a}g -valued version to a cylindrical process defined on . Our result generalizes many other known results on the literature and their different connections will be discussed. As an application, we use our results to show the existence of a -valued c\`{a}dl\`{a}g L\'{e}vy process version to a given cylindrical L\'{e}vy process in .
Cite
@article{arxiv.1905.11223,
title = {Regularization of Cylindrical Processes In Locally Convex Spaces},
author = {C. A. Fonseca-Mora},
journal= {arXiv preprint arXiv:1905.11223},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1701.06630, arXiv:1902.03981, arXiv:1806.10231, arXiv:1511.08443