N.J.Laustsen and V.G.Troitsky,
Vector lattices admitting a positively homogeneous continuous function calculus.
Quarterly J. Math.,
71(1), 2020, 281-294.
doi,
journal,
PDF,
arXiv.
After the paper was published, we learned that a closely related
result was published in Lozanovskiĭ, G. Ja.,
The functions of the elements of a linear lattice.
Izv. Vysš. Učebn. Zaved. Matematika 1973, no. 4(131), 45–54.