Simple constructions of $\mathrm{FBL}(A)$ and $\mathrm{FBL}[E]$

V. G. Troitsky

Simple constructions of $\mathrm{FBL}(A)$ and $\mathrm{FBL}[E]$

Functional Analysis 2019-01-24 v1

Authors: V. G. Troitsky

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 $\nu(a)\le 1$ for all $a\in A$ . We present a similar construction for the free Banach lattice $\mathrm{FBL}[E]$ generated by a Banach space $E$ .

Cite

@article{arxiv.1901.07581,
  title  = {Simple constructions of $\mathrm{FBL}(A)$ and $\mathrm{FBL}[E]$},
  author = {V. G. Troitsky},
  journal= {arXiv preprint arXiv:1901.07581},
  year   = {2019}
}

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