2 papers
math.FA2026
A universal characterisation of the Bochner integral
Jean-David Jacques, Felix Medwed, Fabrizio Zanello
We provide a universal characterisation of the Banach spaces of equivalence classes of Bochner integrable functions, under equality almost everywhere, as initial objects in a…
math.MG2026
Metric Geometry of the Signature Group for -Variation Rough Paths
Felix Medwed, Sylvie Paycha, Alexander Schmeding
The signatures of -rough paths form a subgroup of sufficiently high-level truncated tensor algebras, whose inverse limit is a subgroup of the full tensor algebra. For …