Abstract
We introduce the free Banach lattice generated by a lattice \(\mathbb {L}\). We give an explicit description of it and we study some of its properties for the case when \(\mathbb {L}\) is a linear order, like the countable chain condition.
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Authors supported by Projects MTM2014-54182-P and MTM2017-86182-P (Government of Spain, AEI/FEDER, EU) and by Fundación Séneca: Project 19275/PI/14 for the first author and FPI contract for the second author.
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Avilés, A., Rodríguez Abellán, J.D. The free Banach lattice generated by a lattice. Positivity 23, 581–597 (2019). https://doi.org/10.1007/s11117-018-0626-x
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DOI: https://doi.org/10.1007/s11117-018-0626-x