Cabello, JavierJaramillo Aguado, Jesús Ángel2023-06-172023-06-172017-01-150022-247X10.1016/j.jmaa.2016.04.026https://hdl.handle.net/20.500.14352/17553For each quasi-metric space X we consider the convex lattice SLip(1)(X) of all semi-Lipschitz functions on X with semi-Lipschitz constant not greater than 1. If X and Y are two complete quasi-metric spaces, we prove that every convex lattice isomorphism T from SLip(1)(Y) onto SLip(1)(X) can be written in the form Tf = c . (f o tau) + phi, where tau is an isometry, c > 0 and phi is an element of SLip(1)(X). As a consequence, we obtain that two complete quasi-metric spaces are almost isometric if, and only if, there exists an almost-unital convex lattice isomorphism between SLip(1)(X) and SLip(1) (Y).engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022247X16300646restricted access517.98Almost isometriesQuasi-metric spacesSemi-Lipschitz functionsAnálisis funcional y teoría de operadores