10 citations · 31 across the 40 of their papers we have counts for
36 papers · 1 filter
Do law-invariant linear functionals collapse to the mean?
Shengzhong Chen, Niushan Gao, Denny H. Leung +1
In this note, we show that, on a wide range of rearrangement-invariant spaces, a law-invariant bounded linear functional is a scalar multiple of the expectation. We also construct…
The order-type Banach-Saks properties
Made Tantrawan, Denny H. Leung, Niushan Gao
The study of the Banach-Saks property in Banach spaces has a long and illustrious history. Of late, motivated by applications in financial mathematics, interest has arisen in the B…
Nonlinear biseparating maps
Xianzhe Feng, Denny H. Leung
An additive map acting between spaces of vector-valued functions is said to be biseparating if is a bijection so that and are disjoint if and only if and …
A Local Hahn-Banach Theorem and Its Applications
Niushan Gao, Denny H. Leung, Foivos Xanthos
An important consequence of the Hahn-Banach Theorem says that on any locally convex Hausdorff topological space , there are sufficiently many continuous linear functionals to se…
On closedness of convex sets in Banach lattices
Made Tantrawan, Denny H. Leung
Let be a Banach lattice. A well-known problem arising from the theory of risk measures asks when order closedness of a convex set in implies closedness with respect to the…
Duality for unbounded order convergence and applications
Niushan Gao, Denny H. Leung, Foivos Xanthos
Unbounded order convergence has lately been systematically studied as a generalization of almost everywhere convergence to the abstract setting of vector and Banach lattices. This…