2024/10/18 by Remus Floricel, Floricel, Remus, Peter Wadel +1
Business, Management and Accounting · Engineering · #FOS: Mathematics #Functional Analysis (math.FA) #Manufacturing Process and Optimization #Probability (math.PR) #Product Development and Customization
paper · pdf · doi:10.48550/arxiv.2410.14893
openalex publication_date 2024/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper investigates the structure of product systems of Hilbert spaces derived from Banach space-valued Lévy processes. We establish conditions under which these product systems are completely spatial and show that Gaussian Lévy processes with non-degenerate covariance always give rise to product systems of type I. Furthermore, we construct a continuum of non-isomorphic product systems of type \(\rmII\sb∞\) from pure jump Lévy processes.