OICC Press Mathematical Analysis and its Contemporary Applications 2 1 2020 03 20 Certain dense subalgebras of continuous vector-valued operator algebras 10.30495/maca.2020.679855 EN Abbasali Shokri Department of Mathematics, Ahar Branch, Islamic Azad University, Ahar, Iran. Journal Article 2020 03 20 Let X be a compact metric space with at least two elements, B be a unital commutative Banach algebra over the scalar field F (= R or C), and α ∈ R with 0 < α ≤ 1. Suppose that C(X,B) be the continuous, A(X,B) be the analytic, and Lipα(X,B) be the α-Lipschitz B-valued operator algebras on X. In this paper, we prove that the algebras Lipα(X,B) and A(X,B) are dense in C(X,B) under sup-norm. Also, we study the relationship between elements of the algebras Lipα(X,B) and A(X,B).