%0 Journal Article
%T Certain dense subalgebras of continuous vector-valued operator algebras
%J Mathematical Analysis and its Contemporary Applications
%I Research & Science Group Ltd
%Z 2716-9898
%A Shokri, Abbasali
%D 2020
%\ 12/16/2020
%V 2
%N 1
%P 28-34
%! Certain dense subalgebras of continuous vector-valued operator algebras
%R 10.30495/maca.2020.679855
%X 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 in 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 Lip α(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 Lip α(X,B) and A(X,B).
%U https://www.macajournal.com/article_679855_52bad764f50e390f61cd63b662ef82a5.pdf