N. Gao

activity

20122026

most citedUo-convergence and its applications to Cesàro means in Banach lattices

29 citations · 77 across the 21 of their papers we have counts for

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Showing 2012Show all

3 papers · 1 filter

math.FA2012

Irreducible Semigroups of Positive Operators on Banach Lattices

Niushan Gao, Vladimir G. Troitsky

The classical Perron-Frobenius theory asserts that an irreducible matrix $A$ has cyclic peripheral spectrum and its spectral radius $r (A)$ is an eigenvalue corresponding to a posit…

math.FA2012★ 1 cited

On Commuting and Semi-commuting Positive Operators

Niushan Gao

Let $K$ be a positive compact operator on a Banach lattice. We prove that if either $[K >$ or $< K]$ is ideal irreducible then $[K >=< K] = L_{+} (X) \cap K^{'}$ . We also establish the Perron…

math.FA2012★ 1 cited

Extensions of Perron-Frobenius Theory

Niushan Gao

The classical Perron-Frobenius theory asserts that for two matrices $A$ and $B$ , if $0 \leq B \leq A$ and $r (A) = r (B)$ with $A$ being irreducible, then $A = B$ . This was recently exten…