167 citations · 538 across the 40 of their papers we have counts for
45 papers
Completely Bounded Qusi-Norms, Their Mutiplicativity, and New Additivity Results of Quantum Channels
Ke Li, Quanhua Xu
We obtain two new additivity results of quantum channels. The first one is the additivity of the channel Rényi information associated with the sandwiched Rényi divergence of order…
Notes on real interpolation of operator -spaces
Marius Junge, Quanhua Xu
Let be a semifinite von Neumann algebra. We equip the associated noncommutative -spaces with their natural operator space structure introduced by Pisier via comp…
Optimal orders of the best constants in the Littlewood-Paley inequalities
Quanhua Xu
Let be the classical Poisson semigroup on and the associated Littlewood-Paley -function operator: $$G^{\mathbb{P}}(f)=\B…
Holomorphic functional calculus and vector-valued Littlewood-Paley-Stein theory for semigroups
Quanhua Xu
We study vector-valued Littlewood-Paley-Stein theory for semigroups of regular contractions on for a fixed . We prove that if a Banach space $X…
A Hörmander-Mikhlin multiplier theory for free groups and amalgamated free products of von Neumann algebras
Tao Mei, Éric Ricard, Quanhua Xu
We establish a platform to transfer -completely bounded maps on tensor products of von Neumann algebras to -completely bounded maps on the corresponding amalgamated free…
The intrinsic topology of linear maps
Quan Xu
Based on many experts' former work in the Jacobian conjecture and an essential analysis of intrinsic topology of linear maps, I completely prove the Jacobian conjecture by demonstr…