TY - JOUR
ID - 679855
TI - Certain dense subalgebras of continuous vector-valued operator algebras
JO - Mathematical Analysis and its Contemporary Applications
JA - MACA
LA - en
SN -
AU - Shokri, Abbasali
AD - Department of Mathematics, Ahar Branch, Islamic Azad University, Ahar, Iran.
Y1 - 2020
PY - 2020
VL - 2
IS - 1
SP - 28
EP - 34
DO - 10.30495/maca.2020.679855
N2 - 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).
UR - https://www.macajournal.com/article_679855.html
L1 - https://www.macajournal.com/article_679855_52bad764f50e390f61cd63b662ef82a5.pdf
ER -