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**publisher and metadata sources**).Let A be a function algebra on a locally compact Hausdorff space. A linear isometry T : A −→ A is said to be of codimension 1 if the range of T has codimension 1 in A. In this paper, we provide and… Continue Reading

We say that a linear subspace A of C0(X) is strongly separating if given any pair of distinct points x1, x2 of the locally compact space X, then there exists f ∈ A such that |f(x1)| 6= |f(x2)|. In… Continue Reading

Let A and B be regular semisimple commutative Banach algebras; that is to say, regular Banach function algebras. A linear map T denned from A into B is said to be separating or disjointness… Continue Reading

Abstract In this paper we prove that if A is a strongly separating linear subspace of C 0 ( X ), that is, for every χ , y , X there exists A such that ( χ ) ≠ ( y ), then the Silov boundary for A… Continue Reading

Given ∈ > 0, a continuous linear functional ϕ on C(X) is said to be ∈-disjointness preserving if |ϕ(f)ϕ(g)| < ∈ whenever f,g ∈ C(X) satisfy ∥f∥ ∞ = ∥g∥ ∞ = 1 and fg ≡ 0. In this paper we provide the… Continue Reading

Abstract Let G1 and G2 be locally compact Abelian groups. Let L1(Gi) (i = 1,2) be the space of all complex-valued functions on Gi which are absolutely integrable with respect to its Haar measure. A… Continue Reading