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arXiv · 2003.11626

The positive polynomial Schur property in Banach lattices

Geraldo Botelho·José Lucas P. Luiz
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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 $L_p(\mu)$-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.

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Geraldo Botelho, José Lucas P. Luiz. 2020-03-25. The positive polynomial Schur property in Banach lattices. https://arxiv.org/abs/2003.11626

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