-partitions of unity on normed spaces
We study the structure of spaces of germs of holomorphic functions on compact sets in Fréchet spaces for (LB∞) as well as for (Ω,Ω).
It is proved that every Orlicz sequence space has the λ-property. Criteria for the uniform λ-property in Orlicz sequence spaces, with Luxemburg norm and Orlicz norm, are given.
In this paper, we generalize the concept of -multipliers on Banach algebras to a class of topological algebras. Then the characterizations of -multipliers are investigated in these algebras.