Alaste, Tomi Matias2014-10-282014-10-282014-10-011576-9402https://riunet.upv.es/handle/10251/43627[EN] Let F be a lattice of real-valued functions on a non-empty set X such that F contains the constant functions. Using certain filters on X determined by F, we construct a compact Hausdorff topological space δX with the property that every bounded member of F extends to δX and these extensions form a dense subspace of C(δX). If A is any C*-subalgebra of ℓ∞(X) containing the constant functions, then our construction gives a representation of the spectrum of A as a space of filters on X.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Function latticeF-filterF-ultrafilterSpectrumArtículo2014-10-2710.4995/agt.2014.2050Abierto1989-4147