Abstract
We show that the free Banach lattice \(\mathrm {FBL}(A)\) may be constructed as the completion of \(\mathrm {FVL}(A)\) with respect to the maximal lattice seminorm \(\nu \) on \(\mathrm {FVL}(A)\) with \(\nu (a)\leqslant 1\) for all \(a\in A\). We present a similar construction for the free Banach lattice \(\mathrm {FBL}[E]\) generated by a Banach space E.
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The author was supported by an NSERC Grant.
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Troitsky, V.G. Simple constructions of \(\mathrm {FBL}(A)\) and \(\mathrm {FBL}[E]\). Positivity 23, 1173–1178 (2019). https://doi.org/10.1007/s11117-019-00657-5
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DOI: https://doi.org/10.1007/s11117-019-00657-5