4 papers · 1 filter
Rough paths below the Young threshold: an exact scale calculus and the locality phase transition at one quarter
Zongjian Han, Yuanhe Luo
Since Young's 1936 theorem, irregular integration has been organized around the threshold 1/2: above it the path determines the integral, while below it higher-order data are neede…
The completion of a continuous inverse algebra need not be a continuous inverse algebra
Zongjian Han
In 2006 Neeb asked whether the Hausdorff completion of a continuous inverse algebra must again be a continuous inverse algebra. The noncommutative case remained open, while the com…
A Counterexample To Universal Character Density For Compact Quantum Groups
Zongjian Han
In 1987, Woronowicz asked whether the linear span of irreducible characters is norm dense in the cocommutative part of the ambient C-star algebra of a compact quantum group. After…
Completeness of the Model Space Does Not Force Regularity for Infinite-Dimensional Lie Groups
Zongjian Han, Fungo Saluta
We give negative solutions to the two basic completeness problems for locally convex Lie groups: whether a Lie group modelled on a Mackey-complete locally convex space must be regu…