The positive polynomial Schur property in Banach lattices

2020/03/25 by Botelho, Geraldo, Luiz, José Lucas P. · 1 citation
#46A40 #46B42 #46G25 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2003.11626

Abstract

We study the class of Banach lattices that are positively polynomially Schur. Plenty of examples and counterexamples are provided, lattice properties of this class are proved, arbitrary L_p(μ)-spaces are shown to be positively polynomially Schur, lattice analogues of results on Banach spaces are obtained and relationships with the positive Schur and the weak Dunford-Pettis properties are established.

Cited by

• Lattice isomorphic Banach lattices of polynomials

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