Abstract
Let C(Ω) be the f-ring of all real-valued continuous functions on a completely regular topological space Ω. The present paper presents a complete description of d-multiplications in C(Ω) as weighted composition multiplications. In this regard, it is proven that if C(Ω) is a d-ring with respect to a multiplication * then there exist a “weight” positive function w in C(Ω), and two functions σ and τ from Ω into Ω such that
Key Words:
Acknowledgments
Notes
#Communicated by K. Rangaswamy.