2 papers
math.FA2026
Hypercontractivity for a family of quantum Ornstein-Uhlenbeck semigroups
Longfa Sun, Zhendong Xu, Hao Zhang
We show that a family of quantum Ornstein-Uhlenbeck semigroups is hypercontractive. We also obtain the optimal order of the optimal time up to a constant. The main ingredient of ou…
math.FA2020
On the sum of simultaneously proximinal sets
Longfa Sun, Yuqi Sun, Wen Zhang +1
In this paper, we show that the sum of a compact convex subset and a simultaneously -strongly proximinal convex subset (resp. simultaneously approximatively -compact convex s…