Department of Mathematics, Ahar Branch, Islamic Azad University, Ahar, Iran.
Abstract
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).
Shokri,A. (2020). Certain dense subalgebras of continuous vector-valued operator algebras. Mathematical Analysis and its Contemporary Applications, 2(1), 28-34. doi: 10.30495/maca.2020.679855
MLA
Shokri,A. . "Certain dense subalgebras of continuous vector-valued operator algebras", Mathematical Analysis and its Contemporary Applications, 2, 1, 2020, 28-34. doi: 10.30495/maca.2020.679855
HARVARD
Shokri A. (2020). 'Certain dense subalgebras of continuous vector-valued operator algebras', Mathematical Analysis and its Contemporary Applications, 2(1), pp. 28-34. doi: 10.30495/maca.2020.679855
CHICAGO
A. Shokri, "Certain dense subalgebras of continuous vector-valued operator algebras," Mathematical Analysis and its Contemporary Applications, 2 1 (2020): 28-34, doi: 10.30495/maca.2020.679855
VANCOUVER
Shokri A. Certain dense subalgebras of continuous vector-valued operator algebras. MACA, 2020; 2(1): 28-34. doi: 10.30495/maca.2020.679855
