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math.GR2014
Locally solid topological lattice-ordered groups
Liang Hong
Locally solid Riesz spaces have been widely investigated in the past several decades; but locally solid topological lattice-ordered groups seem to be largely unexplored. The paper…
math.PR2014
And-Douglas type characterization of generalized conditional expectations, optional projections and predictable projections
Liang Hong
Generalized conditional expectations, optional projections and predictable projections of stochastic processes play important roles in the general theory of stochastic processes, s…
math.FA2014
On order-bounded subsets of locally solid Riesz spaces
Liang Hong
In a topological Riesz space there are two types of bounded subsets: order bounded subsets and topologically bounded subsets. It is natural to ask (1) whether an order bounded subs…