3 citations · 5 across the 6 of their papers we have counts for
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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…
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…
Smallest order closed sublattices and option spanning
Niushan Gao, Denny H. Leung
Let be a sublattice of a vector lattice . We consider the problem of identifying the smallest order closed sublattice of containing . It is known that the analogy wit…
Irreducible Semigroups of Positive Operators on Banach Lattices
Niushan Gao, Vladimir G. Troitsky
The classical Perron-Frobenius theory asserts that an irreducible matrix has cyclic peripheral spectrum and its spectral radius is an eigenvalue corresponding to a posit…
On Commuting and Semi-commuting Positive Operators
Niushan Gao
Let be a positive compact operator on a Banach lattice. We prove that if either or is ideal irreducible then . We also establish the Perron…
Extensions of Perron-Frobenius Theory
Niushan Gao
The classical Perron-Frobenius theory asserts that for two matrices and , if and with being irreducible, then . This was recently exten…